Pith Number

pith:4VVWCYRM

pith:2014:4VVWCYRMTM2RJ3CNNFK3DZLG55

not attested not anchored not stored refs pending

Bounds on the Expected Size of the Maximum Agreement Subtree

Colby Long, Daniel Irving Bernstein, Katherine St. John, Lam Si Tung Ho, Mike Steel, Seth Sullivant

arxiv:1411.7338 v2 · 2014-11-26 · q-bio.PE · cs.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{4VVWCYRMTM2RJ3CNNFK3DZLG55}

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	2026-05-18T01:34:35.375438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e56b61622c9b3514ec4d6955b1e566ef42105adc87ad2721adb71d1a600727fb

Aliases

arxiv: 1411.7338 · arxiv_version: 1411.7338v2 · doi: 10.48550/arxiv.1411.7338 · pith_short_12: 4VVWCYRMTM2R · pith_short_16: 4VVWCYRMTM2RJ3CN · pith_short_8: 4VVWCYRM

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/4VVWCYRMTM2RJ3CNNFK3DZLG55 \
  | 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: e56b61622c9b3514ec4d6955b1e566ef42105adc87ad2721adb71d1a600727fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6454ae48332ba6bc845e456e27a7daf1cb26bec9ff0a804988fba2658c1064ff",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2014-11-26T19:20:08Z",
    "title_canon_sha256": "f3393dae81206f2940b1cfdab2136eab66fb6da9488bcbba8f21d87e063ab8a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7338",
    "kind": "arxiv",
    "version": 2
  }
}