Pith Number

pith:GFED2KXD

pith:2013:GFED2KXDBBGR5U72ABEILHHPZI

not attested not anchored not stored refs pending

An algorithm for computing the topological Euler characteristic of complex projective varieties

Christine Jost

arxiv:1301.4128 v3 · 2013-01-17 · 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{GFED2KXDBBGR5U72ABEILHHPZI}

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	2026-05-18T03:19:34.962119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31483d2ae3084d1ed3fa0048859cefca0e95faed05c2fda0c7d36a55087cf559

Aliases

arxiv: 1301.4128 · arxiv_version: 1301.4128v3 · doi: 10.48550/arxiv.1301.4128 · pith_short_12: GFED2KXDBBGR · pith_short_16: GFED2KXDBBGR5U72 · pith_short_8: GFED2KXD

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/GFED2KXDBBGR5U72ABEILHHPZI \
  | 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: 31483d2ae3084d1ed3fa0048859cefca0e95faed05c2fda0c7d36a55087cf559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47e05ec7b5f03dbf9749b36a4fb5f17db0a305ba34ad3434dfdb548fc9f1aedf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-17T15:40:11Z",
    "title_canon_sha256": "152a83d00def5dadf1f570ae52bca6200f9d21d1e8c93dd5479872ecebb8b322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4128",
    "kind": "arxiv",
    "version": 3
  }
}