Pith Number

pith:TPFP7JBF

pith:2013:TPFP7JBFR4XCN67R27X4DY5DZ7

not attested not anchored not stored refs pending

Stochastic flows on metric graphs

Hatem Hajri, Olivier Raimond (UP10)

arxiv:1305.0839 v1 · 2013-05-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPFP7JBFR4XCN67R27X4DY5DZ7}

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	2026-05-18T03:26:31.582283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bcaffa4258f2e26fbf1d7efc1e3a3cff2098a4f2236668d27ada7770c09194c

Aliases

arxiv: 1305.0839 · arxiv_version: 1305.0839v1 · doi: 10.48550/arxiv.1305.0839 · pith_short_12: TPFP7JBFR4XC · pith_short_16: TPFP7JBFR4XCN67R · pith_short_8: TPFP7JBF

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/TPFP7JBFR4XCN67R27X4DY5DZ7 \
  | 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: 9bcaffa4258f2e26fbf1d7efc1e3a3cff2098a4f2236668d27ada7770c09194c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b9a28bd2943e55b29d8430afda1f21a879a67932fdfabd13b5e7634607ed32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-03T20:29:21Z",
    "title_canon_sha256": "5d23bdef1e25822204c0ed7d1d3e6079963368f74daf8c8f4d8a3a26317f5a3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0839",
    "kind": "arxiv",
    "version": 1
  }
}