Pith Number

pith:6Z7U73AY

pith:2012:6Z7U73AYO4H7H7HKZOCZEDG7LR

not attested not anchored not stored refs pending

Contributions to the nonlinear integrated Sachs-Wolfe effect: Birkinshaw-Gull effect and gravitational self-energy density

Bjoern Malte Schaefer (ARI/ZAH, Heidelberg), Philipp Merkel (ITA/ZAH

arxiv:1211.3326 v1 · 2012-11-14 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Z7U73AYO4H7H7HKZOCZEDG7LR}

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	2026-05-18T01:53:15.696353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f67f4fec18770ff3fceacb85920cdf5c49299512c8d2daf288be2351fbf8df42

Aliases

arxiv: 1211.3326 · arxiv_version: 1211.3326v1 · doi: 10.48550/arxiv.1211.3326 · pith_short_12: 6Z7U73AYO4H7 · pith_short_16: 6Z7U73AYO4H7H7HK · pith_short_8: 6Z7U73AY

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/6Z7U73AYO4H7H7HKZOCZEDG7LR \
  | 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: f67f4fec18770ff3fceacb85920cdf5c49299512c8d2daf288be2351fbf8df42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b7b1355901d8aab71d14439dd420b33c0a7be951235f2d7b445b85af90f5d78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-11-14T15:09:32Z",
    "title_canon_sha256": "83f6b1a8ae4afdd228de10b85da53a91611fd16fe352998411655282d55b8e8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3326",
    "kind": "arxiv",
    "version": 1
  }
}