Pith Number

pith:HWUJWD4D

pith:2007:HWUJWD4DNRA2I7MVO43LN4EVVG

not attested not anchored not stored refs pending

A remark on the number of steady states in a multiple futile cycle

Eduardo D. Sontag, Liming Wang

arxiv:0704.0036 v2 · 2007-03-31 · q-bio.QM · q-bio.MN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWUJWD4DNRA2I7MVO43LN4EVVG}

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	2026-05-18T04:09:24.305967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da89b0f836c41a47d957736b6f095a995658de53f97ec28b1df67c8f8da831c

Aliases

arxiv: 0704.0036 · arxiv_version: 0704.0036v2 · doi: 10.48550/arxiv.0704.0036 · pith_short_12: HWUJWD4DNRA2 · pith_short_16: HWUJWD4DNRA2I7MV · pith_short_8: HWUJWD4D

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/HWUJWD4DNRA2I7MVO43LN4EVVG \
  | 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: 3da89b0f836c41a47d957736b6f095a995658de53f97ec28b1df67c8f8da831c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8577692ebdf48c37bf06e14de2d24df642d15fb3d707ee25b1e0192b4514f444",
    "cross_cats_sorted": [
      "q-bio.MN"
    ],
    "license": "",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2007-03-31T15:55:50Z",
    "title_canon_sha256": "d6b194e630193127ba1c869aa3a836f85d577964961b90b5de677257c6ce0ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0036",
    "kind": "arxiv",
    "version": 2
  }
}