Pith Number

pith:OO3XA2TY

pith:2015:OO3XA2TY6R2I7OYNFKYVYOUWGL

not attested not anchored not stored refs pending

Frog model wakeup time on the complete graph

Andrew You, Austin Stromme, Brittany Dygert, Collin Litterell, Matthew Junge, Nikki Cartern, Stephen Lacina

arxiv:1510.05995 v1 · 2015-10-20 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OO3XA2TY6R2I7OYNFKYVYOUWGL}

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	2026-05-18T01:29:39.174016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b7706a78f4748fbb0d2ab15c3a9632e52e519009020044aed1975891d9c336

Aliases

arxiv: 1510.05995 · arxiv_version: 1510.05995v1 · doi: 10.48550/arxiv.1510.05995 · pith_short_12: OO3XA2TY6R2I · pith_short_16: OO3XA2TY6R2I7OYN · pith_short_8: OO3XA2TY

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/OO3XA2TY6R2I7OYNFKYVYOUWGL \
  | 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: 73b7706a78f4748fbb0d2ab15c3a9632e52e519009020044aed1975891d9c336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f5b50ad9d2eca706e2df6eee4d8dea327ce47bf693aa045620d532ebd9e92cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-20T18:11:26Z",
    "title_canon_sha256": "bb6891e6702384847603f0d0d0f7bf40644e76e4b9e0b9a9ba88330fb6da53bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05995",
    "kind": "arxiv",
    "version": 1
  }
}