Pith Number

pith:7L7MWFTX

pith:2011:7L7MWFTXJUP22MBLVNKCEO7Y5Y

not attested not anchored not stored refs pending

Dark Radiation from Modulated Reheating

Fuminobu Takahashi, Masahide Yamaguchi, Takeshi Kobayashi, Tomo Takahashi

arxiv:1111.1336 v3 · 2011-11-05 · astro-ph.CO · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7L7MWFTXJUP22MBLVNKCEO7Y5Y}

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	2026-05-18T03:59:03.030639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fafecb16774d1fad302bab54223bf8ee071a2db93733d973e86db3eceec2bd8d

Aliases

arxiv: 1111.1336 · arxiv_version: 1111.1336v3 · doi: 10.48550/arxiv.1111.1336 · pith_short_12: 7L7MWFTXJUP2 · pith_short_16: 7L7MWFTXJUP22MBL · pith_short_8: 7L7MWFTX

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/7L7MWFTXJUP22MBLVNKCEO7Y5Y \
  | 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: fafecb16774d1fad302bab54223bf8ee071a2db93733d973e86db3eceec2bd8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db46d40f63073e23b5e35c984bdc24328bd2d4841ecfedcab7e9e07c43c8798e",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-11-05T18:01:07Z",
    "title_canon_sha256": "4a8eb13e203fa24d2f003272931b2ef1ffbdef9c822e68e8c52dcd2b191e88ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1336",
    "kind": "arxiv",
    "version": 3
  }
}