Pith Number

pith:OLOLRL3J

pith:2011:OLOLRL3J42VX5P5CKIQW5TJ47C

not attested not anchored not stored refs pending

The Wecken property for random maps on surfaces with boundary

Allison Miller, Jacqueline Brimley, Matthew Griisser, P. Christopher Staecker

arxiv:1109.0218 v1 · 2011-09-01 · math.AT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLOLRL3J42VX5P5CKIQW5TJ47C}

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	2026-05-18T04:14:17.052983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72dcb8af69e6ab7ebfa252216ecd3cf88013eb23052f8ad94e88af13788acc07

Aliases

arxiv: 1109.0218 · arxiv_version: 1109.0218v1 · doi: 10.48550/arxiv.1109.0218 · pith_short_12: OLOLRL3J42VX · pith_short_16: OLOLRL3J42VX5P5C · pith_short_8: OLOLRL3J

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/OLOLRL3J42VX5P5CKIQW5TJ47C \
  | 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: 72dcb8af69e6ab7ebfa252216ecd3cf88013eb23052f8ad94e88af13788acc07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f0f1845d608cd03e0de8e9e7392dcbd86ff6a6ca90c993e4708b1eebd623944",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-01T15:40:26Z",
    "title_canon_sha256": "db58a967082df109aa4723f3a7b80f9334cc64d02ded3f33e936cd1c9ffa12c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0218",
    "kind": "arxiv",
    "version": 1
  }
}