Pith Number

pith:AZSUN3UW

pith:2015:AZSUN3UWEUKPAASEGIAU32OHI2

not attested not anchored not stored refs pending

Galaxy bias and gauges at second order in General Relativity

Aquila), Daniele Bertacca (Western Cape U. & AIfA Bonn), David Wands (Portsmouth U., ICG), Kazuya Koyama (Portsmouth U., Kyoto), Marco Bruni (Portsmouth U., Misao Sasaki (Kyoto U., Nicola Bartolo (Padua U. & INFN, Padua), Padua & GSSI, Roy Maartens (Western Cape U. & Portsmouth U., Sabino Matarrese (Padua U. & INFN, Yukawa Inst.

arxiv:1501.03163 v2 · 2015-01-13 · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZSUN3UWEUKPAASEGIAU32OHI2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:31:03.433686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

066546ee962514f0024432014de9c746926dbac71cb2e14bb98d9817f0237883

Aliases

arxiv: 1501.03163 · arxiv_version: 1501.03163v2 · doi: 10.48550/arxiv.1501.03163 · pith_short_12: AZSUN3UWEUKP · pith_short_16: AZSUN3UWEUKPAASE · pith_short_8: AZSUN3UW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AZSUN3UWEUKPAASEGIAU32OHI2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 066546ee962514f0024432014de9c746926dbac71cb2e14bb98d9817f0237883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37071e6b57a9f270c9a2bd259a8486528dc4c35cd9fcfa7ffed60ec1958ac4a4",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-01-13T21:00:13Z",
    "title_canon_sha256": "f4364b28fe7021265f5cec5a6d548c65fdafeae2a668b982117bc39771c6ed62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03163",
    "kind": "arxiv",
    "version": 2
  }
}