Pith Number

pith:XOEAVYCT

pith:2012:XOEAVYCT63VPWACD3D5OFPUW34

not attested not anchored not stored refs pending

Span, Cospan, and Other Double Categories

Susan Niefield

arxiv:1201.3789 v1 · 2012-01-18 · math.CT · math.GN · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOEAVYCT63VPWACD3D5OFPUW34}

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	2026-05-18T04:04:18.008192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb880ae053f6eafb0043d8fae2be96df2e5372e5041bad1ad95f0b30851caab1

Aliases

arxiv: 1201.3789 · arxiv_version: 1201.3789v1 · doi: 10.48550/arxiv.1201.3789 · pith_short_12: XOEAVYCT63VP · pith_short_16: XOEAVYCT63VPWACD · pith_short_8: XOEAVYCT

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/XOEAVYCT63VPWACD3D5OFPUW34 \
  | 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: bb880ae053f6eafb0043d8fae2be96df2e5372e5041bad1ad95f0b30851caab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79d6162420ae6f0cae502c295fbfb40e59b8c4818b77a60cdb79871ad14d2504",
    "cross_cats_sorted": [
      "math.GN",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-01-18T14:04:57Z",
    "title_canon_sha256": "d715d6413424539a951339c42ea61fb09d0217f3cf74d16976ec1ce1d484a31a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3789",
    "kind": "arxiv",
    "version": 1
  }
}