Pith Number

pith:YMNPYWZC

pith:2024:YMNPYWZC54OSXHGBJYRTIQFNH4

not attested not anchored not stored refs pending

Taylor conditions over finite fields

Matthew Bertucci

arxiv:2412.08744 v3 · 2024-12-11 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMNPYWZC54OSXHGBJYRTIQFNH4}

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	2026-06-08T01:03:42.539672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c31afc5b22ef1d2b9cc14e233440ad3f2bd725dfa6f52ed1c0e8c97406ec16bb

Aliases

arxiv: 2412.08744 · arxiv_version: 2412.08744v3 · doi: 10.48550/arxiv.2412.08744 · pith_short_12: YMNPYWZC54OS · pith_short_16: YMNPYWZC54OSXHGB · pith_short_8: YMNPYWZC

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/YMNPYWZC54OSXHGBJYRTIQFNH4 \
  | 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: c31afc5b22ef1d2b9cc14e233440ad3f2bd725dfa6f52ed1c0e8c97406ec16bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb04901f878030043ff58bc1f6671a834a6f805212de3c7a2dd640f50e33a6f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-11T19:34:06Z",
    "title_canon_sha256": "43632fac83535a57a29e2d852f6b008c8257b393a5072426b6e8b78cf6135c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08744",
    "kind": "arxiv",
    "version": 3
  }
}