Pith Number

pith:3U4NYPM4

pith:2014:3U4NYPM4MQ7W65HPP7PE66FONL

not attested not anchored not stored refs pending

Average Thermal Evolution of the Universe

Alex H. Blin, Natacha Leite

arxiv:1404.1833 v3 · 2014-04-07 · hep-ph · astro-ph.CO · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3U4NYPM4MQ7W65HPP7PE66FONL}

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	2026-05-18T02:40:10.621790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd38dc3d9c643f6f74ef7fde4f78ae6ac168e94455ad6da1d0dfad6deba04b7b

Aliases

arxiv: 1404.1833 · arxiv_version: 1404.1833v3 · doi: 10.48550/arxiv.1404.1833 · pith_short_12: 3U4NYPM4MQ7W · pith_short_16: 3U4NYPM4MQ7W65HP · pith_short_8: 3U4NYPM4

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/3U4NYPM4MQ7W65HPP7PE66FONL \
  | 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: dd38dc3d9c643f6f74ef7fde4f78ae6ac168e94455ad6da1d0dfad6deba04b7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "351a889a66e8c21e3ccd0cf0a604316a15ae58aca99ca967e35b00ec62f4b51e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-04-07T16:18:08Z",
    "title_canon_sha256": "cf3e9e05d5c6b502407385c6818e88fde51273b8a667571e4da5359aa7e32793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1833",
    "kind": "arxiv",
    "version": 3
  }
}