Pith Number

pith:7XAEOIKP

pith:2013:7XAEOIKPE6ILXM4XJ6XMXBSOWM

not attested not anchored not stored refs pending

Curvature of fluctuation geometry and its implications on Riemannian fluctuation theory

L. Velazquez

arxiv:1307.7762 v1 · 2013-07-29 · math-ph · cond-mat.stat-mech · 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{7XAEOIKPE6ILXM4XJ6XMXBSOWM}

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	2026-05-18T01:20:12.529436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdc047214f2790bbb3974faecb864eb30fd1a9ec093245495bd8097eb37c0d32

Aliases

arxiv: 1307.7762 · arxiv_version: 1307.7762v1 · doi: 10.48550/arxiv.1307.7762 · pith_short_12: 7XAEOIKPE6IL · pith_short_16: 7XAEOIKPE6ILXM4X · pith_short_8: 7XAEOIKP

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/7XAEOIKPE6ILXM4XJ6XMXBSOWM \
  | 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: fdc047214f2790bbb3974faecb864eb30fd1a9ec093245495bd8097eb37c0d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c870d73f21fe7bac3f9ab249138b2a4e9301b7570b9abea18e42896d474064ca",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-29T23:10:46Z",
    "title_canon_sha256": "19deb1db69d778fa29af5bfd2016bcd2f06d2a6d16365dc5d3631e97fab2ca7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7762",
    "kind": "arxiv",
    "version": 1
  }
}