Pith Number

pith:U3ZY23GI

pith:2017:U3ZY23GIC7ITQXXIFGAQFWY6KD

not attested not anchored not stored refs pending

Combinatorics of chemical reaction systems

G\'erard H. E. Duchamp, Karol A. Penson, Nicolas Behr

arxiv:1712.06575 v2 · 2017-12-18 · math-ph · math.CO · math.MP · math.PR · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3ZY23GIC7ITQXXIFGAQFWY6KD}

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	2026-05-18T00:22:46.074338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6f38d6cc817d1385ee8298102db1e50dfefa69e86e9aa05711f38bb19d333ac

Aliases

arxiv: 1712.06575 · arxiv_version: 1712.06575v2 · doi: 10.48550/arxiv.1712.06575 · pith_short_12: U3ZY23GIC7IT · pith_short_16: U3ZY23GIC7ITQXXI · pith_short_8: U3ZY23GI

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/U3ZY23GIC7ITQXXIFGAQFWY6KD \
  | 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: a6f38d6cc817d1385ee8298102db1e50dfefa69e86e9aa05711f38bb19d333ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "521a098b840b07d497ba3cacf0c55848cc8040573a28ba36db27c0785c8f963f",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-18T18:42:47Z",
    "title_canon_sha256": "c99f168750c92cead695a00dd2ac00c31407154e59887cc06c5a715bec9bc15a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06575",
    "kind": "arxiv",
    "version": 2
  }
}