Pith Number

pith:2ESCFIND

pith:2022:2ESCFIND3AAOO7Q42EUIAWQY3V

not attested not anchored not stored refs pending

An Exploration of Degeneracy in Abelian Varieties of Fermat Type

Heidi Goodson

arxiv:2211.03909 v2 · 2022-11-07 · math.NT · 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{2ESCFIND3AAOO7Q42EUIAWQY3V}

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	2026-06-19T16:11:07.363099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d12422a1a3d800e77e1cd128805a18dd4d205d06ccf5b8959fd258253dafe954

Aliases

arxiv: 2211.03909 · arxiv_version: 2211.03909v2 · doi: 10.48550/arxiv.2211.03909 · pith_short_12: 2ESCFIND3AAO · pith_short_16: 2ESCFIND3AAOO7Q4 · pith_short_8: 2ESCFIND

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/2ESCFIND3AAOO7Q42EUIAWQY3V \
  | 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: d12422a1a3d800e77e1cd128805a18dd4d205d06ccf5b8959fd258253dafe954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a91c5bd09694f49fc2fac41b7dab6c1e80e6e26687b828fd1e830ae7c5f9e181",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-11-07T23:36:03Z",
    "title_canon_sha256": "09fefd144373b38e7d43ad5fe73082ef8228b9c0ba1257c80d247641746a1c7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.03909",
    "kind": "arxiv",
    "version": 2
  }
}