Pith Number

pith:CGSOIZGF

pith:2014:CGSOIZGFRQUOXLMYHC5NOKPO2Y

not attested not anchored not stored refs pending

Realization of groups with pairing as Jacobians of finite graphs

David Jensen, Dhruv Ranganathan, Louis Gaudet, Nicholas Wawrykow, Theodore Weisman

arxiv:1410.5144 v2 · 2014-10-20 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGSOIZGFRQUOXLMYHC5NOKPO2Y}

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	2026-05-17T23:50:39.068078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a4e464c58c28ebad9838bad729eed6167bde4e1cfabf5a75626c14609c02d2

Aliases

arxiv: 1410.5144 · arxiv_version: 1410.5144v2 · doi: 10.48550/arxiv.1410.5144 · pith_short_12: CGSOIZGFRQUO · pith_short_16: CGSOIZGFRQUOXLMY · pith_short_8: CGSOIZGF

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/CGSOIZGFRQUOXLMYHC5NOKPO2Y \
  | 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: 11a4e464c58c28ebad9838bad729eed6167bde4e1cfabf5a75626c14609c02d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e3693a2b7680a0adf940a26cbe01fd885063105455e6d46fa93d2193992191a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-20T03:03:38Z",
    "title_canon_sha256": "50064560000c0623e7f82b51f71035e7a8aaa37238fba26c6010b80505a5992e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5144",
    "kind": "arxiv",
    "version": 2
  }
}