Pith Number

pith:CYTZO6GN

pith:2012:CYTZO6GNUREPM5UUE6QPL2JDSH

not attested not anchored not stored refs pending

Degree-2 Abel maps for nodal curves

Eduardo Esteves, Juliana Coelho, Marco Pacini

arxiv:1212.1123 v1 · 2012-12-05 · 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{CYTZO6GNUREPM5UUE6QPL2JDSH}

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	2026-05-18T03:39:05.781421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16279778cda448f6769427a0f5e92391ff2864f41ee82f75bfd552277b6d683e

Aliases

arxiv: 1212.1123 · arxiv_version: 1212.1123v1 · doi: 10.48550/arxiv.1212.1123 · pith_short_12: CYTZO6GNUREP · pith_short_16: CYTZO6GNUREPM5UU · pith_short_8: CYTZO6GN

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/CYTZO6GNUREPM5UUE6QPL2JDSH \
  | 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: 16279778cda448f6769427a0f5e92391ff2864f41ee82f75bfd552277b6d683e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44a9d19b2817b0f6dcd67b0a662d67a2ed41b74274309688a16840c3a23ecab2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-05T18:27:07Z",
    "title_canon_sha256": "0946d6ed75fe9a808e3ba2d8a2bf40bb4003ff71382f913c29676d2ca2455b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1123",
    "kind": "arxiv",
    "version": 1
  }
}