Pith Number

pith:PL4D6WM3

pith:2014:PL4D6WM3D3UFL66A6FHK3NVD5C

not attested not anchored not stored refs pending

On the Singularities of Degenerate Abelian Varieties

Joseph Tenini

arxiv:1401.0516 v2 · 2014-01-02 · 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{PL4D6WM3D3UFL66A6FHK3NVD5C}

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	2026-05-18T02:55:49.578707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af83f599b1ee855fbc0f14eadb6a3e8bb393a80a69383d628cdb162be0a2a95

Aliases

arxiv: 1401.0516 · arxiv_version: 1401.0516v2 · doi: 10.48550/arxiv.1401.0516 · pith_short_12: PL4D6WM3D3UF · pith_short_16: PL4D6WM3D3UFL66A · pith_short_8: PL4D6WM3

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/PL4D6WM3D3UFL66A6FHK3NVD5C \
  | 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: 7af83f599b1ee855fbc0f14eadb6a3e8bb393a80a69383d628cdb162be0a2a95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce37eb5f5a2f407915fe636623c75fbdb6ce7e1d3900980e2e73bf12112a8946",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-02T19:42:32Z",
    "title_canon_sha256": "5f8a5aca5b2e0a768be4480854435530ca68a6f6943fdd51e2936186b95cf081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0516",
    "kind": "arxiv",
    "version": 2
  }
}