Pith Number

pith:L776M3OW

pith:2010:L776M3OWBPQSXNY6DVB5NUQCXT

not attested not anchored not stored refs pending

Equivalence problem for the orthogonal webs on the sphere

Caroline Cochran, Raymond G. McLenaghan, Roman G. Smirnov

arxiv:1009.4244 v1 · 2010-09-22 · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L776M3OWBPQSXNY6DVB5NUQCXT}

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	2026-05-18T02:05:18.928786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fffe66dd60be12bb71e1d43d6d202bcf66d7d4df19a21418194c6ba43f3178e

Aliases

arxiv: 1009.4244 · arxiv_version: 1009.4244v1 · doi: 10.48550/arxiv.1009.4244 · pith_short_12: L776M3OWBPQS · pith_short_16: L776M3OWBPQSXNY6 · pith_short_8: L776M3OW

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/L776M3OWBPQSXNY6DVB5NUQCXT \
  | 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: 5fffe66dd60be12bb71e1d43d6d202bcf66d7d4df19a21418194c6ba43f3178e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2717704056eac75082700944a425e5181ab99f544a32a8ca5ede078e232abb9d",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-22T01:16:12Z",
    "title_canon_sha256": "9f08c841f1392c0d1e8f326308fd024b212da0a3c1189cd3d2f6bccbdb4740ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4244",
    "kind": "arxiv",
    "version": 1
  }
}