Pith Number

pith:4VECA5FU

pith:2007:4VECA5FUKGKJ52QYITXU5T3LRS

not attested not anchored not stored refs pending

Primordial helium recombination II: two-photon processes

Christopher M. Hirata, Eric R. Switzer

arxiv:astro-ph/0702144 v1 · 2007-02-06 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VECA5FUKGKJ52QYITXU5T3LRS}

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	2026-07-04T15:28:40.577228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5482074b451949eea1844ef4ecf6b8ca3f1aa8b175838518511d1335a0a1631

Aliases

arxiv: astro-ph/0702144 · arxiv_version: astro-ph/0702144v1 · doi: 10.48550/arxiv.astro-ph/0702144 · pith_short_12: 4VECA5FUKGKJ · pith_short_16: 4VECA5FUKGKJ52QY · pith_short_8: 4VECA5FU

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/4VECA5FUKGKJ52QYITXU5T3LRS \
  | 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: e5482074b451949eea1844ef4ecf6b8ca3f1aa8b175838518511d1335a0a1631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "246a8d00ab71aea8c88d5bdd55d0248828e54d859d7636b684571a9f6ac76162",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-02-06T07:30:07Z",
    "title_canon_sha256": "8b6df7c69a9f59a7b8ded420df70db4fa8bea0f75d9c8c8fc9d9fae5dbd7cbc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0702144",
    "kind": "arxiv",
    "version": 1
  }
}