Pith Number

pith:MD5WNFJN

pith:2011:MD5WNFJNZNVM6BSD4UXFV2S362

not attested not anchored not stored refs pending

Exact enumeration of cherries and pitchforks in ranked trees under the coalescent model

Filippo Disanto, Thomas Wiehe

arxiv:1112.1295 v3 · 2011-12-06 · math.CO · cs.DM · 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{MD5WNFJNZNVM6BSD4UXFV2S362}

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	2026-05-18T03:48:34.007876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60fb66952dcb6acf0643e52e5aea5bf68233f57e24ac0afb824eef81e31edf3b

Aliases

arxiv: 1112.1295 · arxiv_version: 1112.1295v3 · doi: 10.48550/arxiv.1112.1295 · pith_short_12: MD5WNFJNZNVM · pith_short_16: MD5WNFJNZNVM6BSD · pith_short_8: MD5WNFJN

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/MD5WNFJNZNVM6BSD4UXFV2S362 \
  | 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: 60fb66952dcb6acf0643e52e5aea5bf68233f57e24ac0afb824eef81e31edf3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3076736770242680d66017d02a25d3b59f115e06bb6cbebb0b5b08061784e39",
    "cross_cats_sorted": [
      "cs.DM",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-06T14:47:24Z",
    "title_canon_sha256": "7bee0efb291f630ac83b1f67cd2bb05146ce6f5e109ffe51e567f7d8cacb6904"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1295",
    "kind": "arxiv",
    "version": 3
  }
}