Pith Number

pith:4R4GBT3R

pith:2013:4R4GBT3RSG6BOKXAG7H6QRDPT5

not attested not anchored not stored refs pending

Primordial fluctuations from deformed quantum algebras

Andrew C. Day, Iain A. Brown, Sanjeev S. Seahra

arxiv:1311.1059 v1 · 2013-11-05 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4R4GBT3RSG6BOKXAG7H6QRDPT5}

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	2026-05-18T01:46:38.868740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47860cf7191bc172ae037cfe8446f9f76860560f500490547cbfbe2ac766a08

Aliases

arxiv: 1311.1059 · arxiv_version: 1311.1059v1 · doi: 10.48550/arxiv.1311.1059 · pith_short_12: 4R4GBT3RSG6B · pith_short_16: 4R4GBT3RSG6BOKXA · pith_short_8: 4R4GBT3R

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/4R4GBT3RSG6BOKXAG7H6QRDPT5 \
  | 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: e47860cf7191bc172ae037cfe8446f9f76860560f500490547cbfbe2ac766a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0f380cfb88eab26bc9cc5ff9dee208aa252d5752a6f24d889994e416c65dc48",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-11-05T14:21:13Z",
    "title_canon_sha256": "57a212f49634e6cfc454d59999ea39e6b628b2ff53e1389ed3c684ba90d694d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1059",
    "kind": "arxiv",
    "version": 1
  }
}