Pith Number

pith:ZPXMJ27M

pith:2022:ZPXMJ27MUXIH5DISNUXDHQVQ5E

not attested not anchored not stored refs pending

An algorithm for finding weakly reversible deficiency zero realizations of polynomial dynamical systems

Gheorghe Craciun, Jiaxin Jin, Polly Y. Yu

arxiv:2205.14267 v1 · 2022-05-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPXMJ27MUXIH5DISNUXDHQVQ5E}

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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.

Cited by

1 paper in Pith

Weakly reversible deficiency zero realizations of reaction networks

Receipt and verification

First computed	2026-07-05T04:27:15.583241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbeec4ebeca5d07e8d126d2e33c2b0e91dee073c71662eaef83694f85ad48986

Aliases

arxiv: 2205.14267 · arxiv_version: 2205.14267v1 · doi: 10.48550/arxiv.2205.14267 · pith_short_12: ZPXMJ27MUXIH · pith_short_16: ZPXMJ27MUXIH5DIS · pith_short_8: ZPXMJ27M

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/ZPXMJ27MUXIH5DISNUXDHQVQ5E \
  | 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: cbeec4ebeca5d07e8d126d2e33c2b0e91dee073c71662eaef83694f85ad48986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "033ab71dccf19f42e16d76bffa6169ccd7ec96862168deadcda021b9755140d7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-05-27T22:57:29Z",
    "title_canon_sha256": "5769515bd6f42983dfc1b829838613d503b81789b242fcf5e0df54657835bdd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.14267",
    "kind": "arxiv",
    "version": 1
  }
}