Pith Number

pith:7MPLUY4W

pith:2007:7MPLUY4WISIQ627YPZUMJNPXF2

not attested not anchored not stored refs pending

Primordial helium recombination I: feedback, line transfer, and continuum opacity

Christopher M. Hirata, Eric R. Switzer

arxiv:astro-ph/0702143 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{7MPLUY4WISIQ627YPZUMJNPXF2}

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	2026-07-04T15:28:40.549669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1eba639644910f6bf87e68c4b5f72ead14de32d992a76a043110357eec1be9

Aliases

arxiv: astro-ph/0702143 · arxiv_version: astro-ph/0702143v1 · doi: 10.48550/arxiv.astro-ph/0702143 · pith_short_12: 7MPLUY4WISIQ · pith_short_16: 7MPLUY4WISIQ627Y · pith_short_8: 7MPLUY4W

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/7MPLUY4WISIQ627YPZUMJNPXF2 \
  | 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: fb1eba639644910f6bf87e68c4b5f72ead14de32d992a76a043110357eec1be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56eb649951964d5d72305d81a37d86e338036a60362cf4a0562667734aa4799c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-02-06T08:06:04Z",
    "title_canon_sha256": "c88d48e3fed48218d90c1657323dd4506e711d953394de55340514a39df0e2c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0702143",
    "kind": "arxiv",
    "version": 1
  }
}