Pith Number

pith:7HF3TRM5

pith:2014:7HF3TRM5ISTMYF6YSY677RLUXE

not attested not anchored not stored refs pending

An Analytical Expression for the Hubble diagram of supernovae and gamma-ray bursts

Bernard Vigoureux, Jean-Marie Vigoureux, Michel Langlois

arxiv:1411.3648 v1 · 2014-11-12 · physics.gen-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{7HF3TRM5ISTMYF6YSY677RLUXE}

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	2026-05-18T02:37:43.240535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9cbb9c59d44a6cc17d8963dffc574b9084b1a10eb9088f55f8ced2338b8988a

Aliases

arxiv: 1411.3648 · arxiv_version: 1411.3648v1 · doi: 10.48550/arxiv.1411.3648 · pith_short_12: 7HF3TRM5ISTM · pith_short_16: 7HF3TRM5ISTMYF6Y · pith_short_8: 7HF3TRM5

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/7HF3TRM5ISTMYF6YSY677RLUXE \
  | 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: f9cbb9c59d44a6cc17d8963dffc574b9084b1a10eb9088f55f8ced2338b8988a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e33f446787f22812b05af395cd9c2d7d0b92d264086b2d46d617ad954cd0c761",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2014-11-12T17:25:56Z",
    "title_canon_sha256": "48aa248ace39389c6d6d5c29298696fa07725e2a9dc98490c12c3eea13539f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3648",
    "kind": "arxiv",
    "version": 1
  }
}