Pith Number

pith:NDEIZ2BI

pith:1992:NDEIZ2BITV6RXZDHKFQ4O6M2DN

not attested not anchored not stored refs pending

Photon Propagation in Dense Media

E. Petitgirard, T. Altherr, T. del Rio Gaztelurrutia

arxiv:hep-ph/9212264 v1 · 1992-12-15 · hep-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{NDEIZ2BITV6RXZDHKFQ4O6M2DN}

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	2026-05-18T04:21:31.535568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c88ce8289d7d1be4675161c7799a1b6ab4ba220dc9c90fde282ee0ec5d3584

Aliases

arxiv: hep-ph/9212264 · arxiv_version: hep-ph/9212264v1 · doi: 10.48550/arxiv.hep-ph/9212264 · pith_short_12: NDEIZ2BITV6R · pith_short_16: NDEIZ2BITV6RXZDH · pith_short_8: NDEIZ2BI

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/NDEIZ2BITV6RXZDHKFQ4O6M2DN \
  | 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: 68c88ce8289d7d1be4675161c7799a1b6ab4ba220dc9c90fde282ee0ec5d3584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "747c1ac16047841b5e4cdcab6e2eb09312439ef4694b6a07d69af19789ebf7d6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1992-12-15T14:53:45Z",
    "title_canon_sha256": "9c2506d48ea7521fc6751e2d90660d7abf790090838241f75c29007388bdd05d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9212264",
    "kind": "arxiv",
    "version": 1
  }
}