Pith Number

pith:PRBDCOWO

pith:1992:PRBDCOWOSTKHTQ5FB7DWURVZQP

not attested not anchored not stored refs pending

$\Lambda$\<-Trees and Their Applications

John W. Morgan

arxiv:math/9201265 v1 · 1992-01-01 · math.GR · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRBDCOWOSTKHTQ5FB7DWURVZQP}

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	2026-05-18T01:05:54.599684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c42313ace94d479c3a50fc76a46b983cd43a05e8c0aaa44738cf42468678c04

Aliases

arxiv: math/9201265 · arxiv_version: math/9201265v1 · doi: 10.48550/arxiv.math/9201265 · pith_short_12: PRBDCOWOSTKH · pith_short_16: PRBDCOWOSTKHTQ5F · pith_short_8: PRBDCOWO

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/PRBDCOWOSTKHTQ5FB7DWURVZQP \
  | 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: 7c42313ace94d479c3a50fc76a46b983cd43a05e8c0aaa44738cf42468678c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85304a581a861c0889c6cf8c337d24166c929b9d8f3a33b88b0538d46003c4a8",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1992-01-01T00:00:00Z",
    "title_canon_sha256": "887bb6d4d5391d1a175fcabf1b6b763134505de0b80af7724b9a052e35d5eeff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9201265",
    "kind": "arxiv",
    "version": 1
  }
}