Pith Number

pith:QSQHO64U

pith:2016:QSQHO64U3E55TO36R4XG2XMGWD

not attested not anchored not stored refs pending

Limiting behavior of 3-color excitable media on arbitrary graphs

David Sivakoff, Hanbaek Lyu, Janko Gravner

arxiv:1610.07320 v1 · 2016-10-24 · math.PR · math.CO · nlin.AO · nlin.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSQHO64U3E55TO36R4XG2XMGWD}

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	2026-05-18T00:25:11.908351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84a0777b94d93bd9bb7e8f2e6d5d86b0c761054f364edfc37e2ed3f699b4d009

Aliases

arxiv: 1610.07320 · arxiv_version: 1610.07320v1 · doi: 10.48550/arxiv.1610.07320 · pith_short_12: QSQHO64U3E55 · pith_short_16: QSQHO64U3E55TO36 · pith_short_8: QSQHO64U

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/QSQHO64U3E55TO36R4XG2XMGWD \
  | 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: 84a0777b94d93bd9bb7e8f2e6d5d86b0c761054f364edfc37e2ed3f699b4d009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "490e7ab7ad057a8bc65d2b411077e1d26bead2bc2eae530aa8ed9df0ec694a25",
    "cross_cats_sorted": [
      "math.CO",
      "nlin.AO",
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-24T08:08:38Z",
    "title_canon_sha256": "5a8cef69915e7d755c94a6edb08c84bae949fd76d010446bccdb761551d6b999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07320",
    "kind": "arxiv",
    "version": 1
  }
}