Pith Number

pith:2CODX7PQ

pith:2011:2CODX7PQY45D5YUDWROEG2XFAU

not attested not anchored not stored refs pending

Orbifold Euler characteristics for dual invertible polynomials

Sabir M. Gusein-Zade, Wolfgang Ebeling

arxiv:1107.5542 v1 · 2011-07-27 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2CODX7PQY45D5YUDWROEG2XFAU}

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	2026-05-18T04:16:42.911539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d09c3bfdf0c73a3ee283b45c436ae505182c2476fd75fd8a1e903066301340d3

Aliases

arxiv: 1107.5542 · arxiv_version: 1107.5542v1 · doi: 10.48550/arxiv.1107.5542 · pith_short_12: 2CODX7PQY45D · pith_short_16: 2CODX7PQY45D5YUD · pith_short_8: 2CODX7PQ

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/2CODX7PQY45D5YUDWROEG2XFAU \
  | 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: d09c3bfdf0c73a3ee283b45c436ae505182c2476fd75fd8a1e903066301340d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d79cb239499475e5cbd360b92157129803e2bd27d489bace84f17bdc606a629",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-27T17:10:49Z",
    "title_canon_sha256": "2f12f8cb80a83c702a985a647a08b133a6331a691cca9fd500ff700d92deadcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5542",
    "kind": "arxiv",
    "version": 1
  }
}