Pith Number

pith:DQACIUBO

pith:2013:DQACIUBOXLIK7XBZQEZAAXWXHE

not attested not anchored not stored refs pending

Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle

Luigi Barletti

arxiv:1311.5392 v1 · 2013-11-21 · 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{DQACIUBOXLIK7XBZQEZAAXWXHE}

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	2026-05-18T01:46:11.647947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c0024502ebad0afdc398132005ed739052df65d56b21e16c96e4ef6c19b27cd

Aliases

arxiv: 1311.5392 · arxiv_version: 1311.5392v1 · doi: 10.48550/arxiv.1311.5392 · pith_short_12: DQACIUBOXLIK · pith_short_16: DQACIUBOXLIK7XBZ · pith_short_8: DQACIUBO

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/DQACIUBOXLIK7XBZQEZAAXWXHE \
  | 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: 1c0024502ebad0afdc398132005ed739052df65d56b21e16c96e4ef6c19b27cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8389aa423b990e2ca1146b81485a320f87478c2c866d3272c5af8735550398cf",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-21T13:11:29Z",
    "title_canon_sha256": "a2dc10d1176cd33083f7f96737417dff13c84c2e6dc4426ac4dcd118ea1f7064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5392",
    "kind": "arxiv",
    "version": 1
  }
}