Pith Number

pith:HBTTCCGP

pith:2017:HBTTCCGP2ZYUOL3UVV5HPIUHVJ

not attested not anchored not stored refs pending

A generalization of the Hasse-Witt matrix of a hypersurface

Alan Adolphson, Steven Sperber

arxiv:1701.04509 v1 · 2017-01-17 · 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{HBTTCCGP2ZYUOL3UVV5HPIUHVJ}

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	2026-05-18T00:52:43.486885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38673108cfd671472f74ad7a77a287aa58fd59d428744aeb23bed0ba08ca6aa8

Aliases

arxiv: 1701.04509 · arxiv_version: 1701.04509v1 · doi: 10.48550/arxiv.1701.04509 · pith_short_12: HBTTCCGP2ZYU · pith_short_16: HBTTCCGP2ZYUOL3U · pith_short_8: HBTTCCGP

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/HBTTCCGP2ZYUOL3UVV5HPIUHVJ \
  | 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: 38673108cfd671472f74ad7a77a287aa58fd59d428744aeb23bed0ba08ca6aa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cb8af98b3b906ad82732a08ca0e236efd031b15e604df441d8a6998f1dbf108",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-17T01:45:04Z",
    "title_canon_sha256": "f217b80c7c0247a98b52b79f68959db4690afdfc19d9d8750b51b93afaef042a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04509",
    "kind": "arxiv",
    "version": 1
  }
}