Pith Number

pith:OWRSMLTX

pith:2010:OWRSMLTX4SRIPE4YCJS63QXUWL

not attested not anchored not stored refs pending

Self-intersections in combinatorial topology: statistical structure

Moira Chas, Steven P. Lalley

arxiv:1012.0580 v2 · 2010-12-02 · math.GT · math.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{OWRSMLTX4SRIPE4YCJS63QXUWL}

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	2026-05-18T04:16:30.837337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75a3262e77e4a28793981265edc2f4b2e8967a8ecb115a4a68454f44327c41f8

Aliases

arxiv: 1012.0580 · arxiv_version: 1012.0580v2 · doi: 10.48550/arxiv.1012.0580 · pith_short_12: OWRSMLTX4SRI · pith_short_16: OWRSMLTX4SRIPE4Y · pith_short_8: OWRSMLTX

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/OWRSMLTX4SRIPE4YCJS63QXUWL \
  | 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: 75a3262e77e4a28793981265edc2f4b2e8967a8ecb115a4a68454f44327c41f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a355178a3cb647eaaeed2f638ba92e695b7556f5cf4226c02517e3b93f04910",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-12-02T21:22:20Z",
    "title_canon_sha256": "dca219a603a00d5baf09330bb6c398ea5b8e0e06bb3aa0377dcd497ffdd7855a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0580",
    "kind": "arxiv",
    "version": 2
  }
}