Pith Number

pith:4N6CMAZV

pith:2017:4N6CMAZVKZ4WSQA7YQL4KGQCIW

not attested not anchored not stored refs pending

Conditions for Extinction Events in Chemical Reaction Networks with Discrete State Spaces

David F. Anderson, Gheorghe Craciun, Matthew D. Johnston, Robert Brijder

arxiv:1701.02012 v2 · 2017-01-08 · 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{4N6CMAZVKZ4WSQA7YQL4KGQCIW}

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	2026-05-18T00:53:04.584486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e37c260335567969401fc417c51a02459208c401cb1226212948139c0b703d31

Aliases

arxiv: 1701.02012 · arxiv_version: 1701.02012v2 · doi: 10.48550/arxiv.1701.02012 · pith_short_12: 4N6CMAZVKZ4W · pith_short_16: 4N6CMAZVKZ4WSQA7 · pith_short_8: 4N6CMAZV

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/4N6CMAZVKZ4WSQA7YQL4KGQCIW \
  | 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: e37c260335567969401fc417c51a02459208c401cb1226212948139c0b703d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d73daf99e780db135a052edcb5a98f0cb84bb02b2ef5a3e5d299f8a0b1af001",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-08T20:28:32Z",
    "title_canon_sha256": "8f2f3d275462a3aa526bde8c008e04df36332c378870de43bc1900997bd0eae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02012",
    "kind": "arxiv",
    "version": 2
  }
}