Pith Number

pith:ALIHAODD

pith:2012:ALIHAODD2ETGMMBWAL24QGCOKI

not attested not anchored not stored refs pending

Is the Random Tree Puzzle process the same as the Yule-Harding process?

Mike Steel, Sha Zhu

arxiv:1208.0636 v2 · 2012-08-03 · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALIHAODD2ETGMMBWAL24QGCOKI}

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	2026-05-18T03:49:09.998802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d0703863d12666303602f5c8184e52008776d805a1baf15d1f1dfe41de961c

Aliases

arxiv: 1208.0636 · arxiv_version: 1208.0636v2 · doi: 10.48550/arxiv.1208.0636 · pith_short_12: ALIHAODD2ETG · pith_short_16: ALIHAODD2ETGMMBW · pith_short_8: ALIHAODD

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/ALIHAODD2ETGMMBWAL24QGCOKI \
  | 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: 02d0703863d12666303602f5c8184e52008776d805a1baf15d1f1dfe41de961c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ee1d74399fcb87af9c8bae6a8a08ede3de6c822d1667bee5d2f8b4549f30f95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-08-03T00:53:47Z",
    "title_canon_sha256": "34b2f8f11ed6d410a5e4222fef29f5a8c5428961fff4ec0ed81b542f96d09adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0636",
    "kind": "arxiv",
    "version": 2
  }
}