Pith Number

pith:PJ7N7GLF

pith:2010:PJ7N7GLFPEHGRIRCJC3SLR5TWC

not attested not anchored not stored refs pending

Wave Speed in the Macroscopic Extended Model for Ultrarelativistic Gases

F. Borghero, F. Demontis, S. Pennisi

arxiv:1012.1482 v1 · 2010-12-07 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJ7N7GLFPEHGRIRCJC3SLR5TWC}

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	2026-05-18T04:34:01.028225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7edf9965790e68a22248b725c7b3b0945475f01a6b983fa79922b2b6de1f02

Aliases

arxiv: 1012.1482 · arxiv_version: 1012.1482v1 · doi: 10.48550/arxiv.1012.1482 · pith_short_12: PJ7N7GLFPEHG · pith_short_16: PJ7N7GLFPEHGRIRC · pith_short_8: PJ7N7GLF

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/PJ7N7GLFPEHGRIRCJC3SLR5TWC \
  | 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: 7a7edf9965790e68a22248b725c7b3b0945475f01a6b983fa79922b2b6de1f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e37b70a07d88b59b5f425033f31cf4e6842018b83d034f74d7575333a337abc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-07T12:07:59Z",
    "title_canon_sha256": "7204f613ee222102e201c43689936a51ccaf997dadb69a5a227de8b51877a763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1482",
    "kind": "arxiv",
    "version": 1
  }
}