Pith Number

pith:HFKEJXAF

pith:2010:HFKEJXAFAV7KRHOABZPVEX5GKU

not attested not anchored not stored refs pending

Molecular hydrogen in the cosmic recombination epoch

Christopher M. Hirata, Esfandiar Alizadeh

arxiv:1012.2378 v1 · 2010-12-10 · 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{HFKEJXAFAV7KRHOABZPVEX5GKU}

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	2026-05-18T03:23:36.325502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395444dc05057ea89dc00e5f525fa6551e31604a08c3ac8def4bc2207c7c8d16

Aliases

arxiv: 1012.2378 · arxiv_version: 1012.2378v1 · doi: 10.48550/arxiv.1012.2378 · pith_short_12: HFKEJXAFAV7K · pith_short_16: HFKEJXAFAV7KRHOA · pith_short_8: HFKEJXAF

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/HFKEJXAFAV7KRHOABZPVEX5GKU \
  | 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: 395444dc05057ea89dc00e5f525fa6551e31604a08c3ac8def4bc2207c7c8d16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a05f25a3be17be8a3296a2dd05ede3aa6283785a45d0e0beaebde89d6a2d08c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-12-10T20:53:45Z",
    "title_canon_sha256": "64dab0fe6217940a3b0f6ce3f5a5ec1f18a1b31b43fb4a92e7369ccfa789a5aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2378",
    "kind": "arxiv",
    "version": 1
  }
}