Pith Number

pith:73SBAGR2

pith:1998:73SBAGR25UF3DYEHNVDTOCOHTX

not attested not anchored not stored refs pending

Stable maps and Hurwitz schemes in mixed characteristic

Dan Abramovich, Frans oort

arxiv:math/9808074 v1 · 1998-08-17 · 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{73SBAGR25UF3DYEHNVDTOCOHTX}

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.

Cited by

1 paper in Pith

The Moduli Space of Twisted Exact Differential Forms on Curves in Positive Characteristic

Receipt and verification

First computed	2026-07-04T14:40:45.715325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fee4101a3aed0bb1e0876d473709c79dd6d7f99333cc376fc7dc2a6beaee5855

Aliases

arxiv: math/9808074 · arxiv_version: math/9808074v1 · doi: 10.48550/arxiv.math/9808074 · pith_short_12: 73SBAGR25UF3 · pith_short_16: 73SBAGR25UF3DYEH · pith_short_8: 73SBAGR2

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/73SBAGR25UF3DYEHNVDTOCOHTX \
  | 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: fee4101a3aed0bb1e0876d473709c79dd6d7f99333cc376fc7dc2a6beaee5855

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "133d11f287f0984fe5f1a9bc634bb2113622a522ce5bb52ef9e0fc7854768461",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-08-17T19:00:05Z",
    "title_canon_sha256": "ce8557abab0d101588e2251acb20bacbeffa300050cc296d4653f12c49e33d66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9808074",
    "kind": "arxiv",
    "version": 1
  }
}