Pith Number

pith:NAZK3M3S

pith:2013:NAZK3M3SLVGGXT2C3YCSUMXH4I

not attested not anchored not stored refs pending

Photon gas with hyperbolic dispersion relations

Morteza Mohseni

arxiv:1302.3034 v1 · 2013-02-13 · physics.optics · 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{NAZK3M3SLVGGXT2C3YCSUMXH4I}

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	2026-05-18T03:33:39.506072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6832adb3725d4c6bcf42de052a32e7e22d7d51ea12256bb201822ddc98441758

Aliases

arxiv: 1302.3034 · arxiv_version: 1302.3034v1 · doi: 10.48550/arxiv.1302.3034 · pith_short_12: NAZK3M3SLVGG · pith_short_16: NAZK3M3SLVGGXT2C · pith_short_8: NAZK3M3S

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/NAZK3M3SLVGGXT2C3YCSUMXH4I \
  | 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: 6832adb3725d4c6bcf42de052a32e7e22d7d51ea12256bb201822ddc98441758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83d650102c55eff6ab136fe1f264272f2f0fc20bb4f45c98ce877283ba4ebadb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-02-13T09:56:18Z",
    "title_canon_sha256": "96471f83f133429691e94e4f20cbfdb2c721eacc99cdb24fa33da2a0fd34172b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3034",
    "kind": "arxiv",
    "version": 1
  }
}