Pith Number

pith:F2TCI7NZ

pith:2026:F2TCI7NZH3VWYN27CEWMRVSG27

not attested not anchored not stored refs pending

Flux solutions for stochastic chemical systems with sources and sinks

E. Franco, J. J. L. Vel\'azquez

arxiv:2607.02367 v1 · 2026-07-02 · math.PR · math-ph · math.CA · 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{F2TCI7NZH3VWYN27CEWMRVSG27}

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	2026-07-03T01:17:56.914794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea6247db93eeb6c375f112cc8d646d7d959698e5e503d45d087016003f604c0

Aliases

arxiv: 2607.02367 · arxiv_version: 2607.02367v1 · doi: 10.48550/arxiv.2607.02367 · pith_short_12: F2TCI7NZH3VW · pith_short_16: F2TCI7NZH3VWYN27 · pith_short_8: F2TCI7NZ

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/F2TCI7NZH3VWYN27CEWMRVSG27 \
  | 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: 2ea6247db93eeb6c375f112cc8d646d7d959698e5e503d45d087016003f604c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0d1d6fd7a824c1c1caa0ad3c2ecc3d05112e19f1d5e004ffd95e0e2779657d",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-02T16:09:26Z",
    "title_canon_sha256": "7c5e5a21fbfaad809155d2369e78550fa4faafe0937a69e152b2e3100751ac17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02367",
    "kind": "arxiv",
    "version": 1
  }
}