Pith Number

pith:TOUKCFH4

pith:2015:TOUKCFH4OCRQJHLLWQTAUDORWC

not attested not anchored not stored refs pending

CosmoSpec: Fast and detailed computation of the cosmological recombination radiation from hydrogen and helium

Jens Chluba, Yacine Ali-Haimoud

arxiv:1510.03877 v1 · 2015-10-13 · 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{TOUKCFH4OCRQJHLLWQTAUDORWC}

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	2026-05-18T01:22:35.384873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ba8a114fc70a3049d6bb4260a0dd1b0ae2561473b60a3b55d73b2a20284c8d1

Aliases

arxiv: 1510.03877 · arxiv_version: 1510.03877v1 · doi: 10.48550/arxiv.1510.03877 · pith_short_12: TOUKCFH4OCRQ · pith_short_16: TOUKCFH4OCRQJHLL · pith_short_8: TOUKCFH4

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/TOUKCFH4OCRQJHLLWQTAUDORWC \
  | 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: 9ba8a114fc70a3049d6bb4260a0dd1b0ae2561473b60a3b55d73b2a20284c8d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e28153f311630324dcc3a4935d507ec830d1a62ab6210a97508438b9ab82858d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-10-13T20:19:13Z",
    "title_canon_sha256": "201559d369cc1f8ea52d7cf2e8aa586a433a7b00f85d33b9797db710f3e815c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03877",
    "kind": "arxiv",
    "version": 1
  }
}