Pith Number

pith:YPCTGFEP

pith:2010:YPCTGFEP5MIGSK2RDYBRSYZJ6D

not attested not anchored not stored refs pending

Propagation of the burst of radiation in expanding and recombining Universe: Thomson scattering

S.I. Grachev, V.K. Dubrovich

arxiv:1010.4455 v1 · 2010-10-21 · 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{YPCTGFEP5MIGSK2RDYBRSYZJ6D}

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	2026-05-18T02:05:00.022606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c533148feb10692b511e03196329f0db1c1cd3a77d9d0e5dcf8ee8e75e7da9

Aliases

arxiv: 1010.4455 · arxiv_version: 1010.4455v1 · doi: 10.48550/arxiv.1010.4455 · pith_short_12: YPCTGFEP5MIG · pith_short_16: YPCTGFEP5MIGSK2R · pith_short_8: YPCTGFEP

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/YPCTGFEP5MIGSK2RDYBRSYZJ6D \
  | 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: c3c533148feb10692b511e03196329f0db1c1cd3a77d9d0e5dcf8ee8e75e7da9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3496cce939c75cd269c8c8d00f0e311c885629943a8c661f6f23a61e1cf62fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-10-21T12:47:18Z",
    "title_canon_sha256": "885fd29569d3d381d893716a7c6b18bb4677bc9ae55353f24e563b6c8c5bb528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4455",
    "kind": "arxiv",
    "version": 1
  }
}