Pith Number

pith:4CSXZ767

pith:1998:4CSXZ767ZA3HOLXTTYBX4RIA7S

not attested not anchored not stored refs pending

Projections from Subvarieties

Alan Howard, Andrew J. Sommese, Mauro C. Beltrametti, Michael Schneider

arxiv:math/9804048 v1 · 1998-04-08 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CSXZ767ZA3HOLXTTYBX4RIA7S}

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	2026-05-18T01:05:34.127586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a57cffdfc836772ef39e037e4500fcb0b2aa8819e7b43de499da3584663f5f

Aliases

arxiv: math/9804048 · arxiv_version: math/9804048v1 · doi: 10.48550/arxiv.math/9804048 · pith_short_12: 4CSXZ767ZA3H · pith_short_16: 4CSXZ767ZA3HOLXT · pith_short_8: 4CSXZ767

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/4CSXZ767ZA3HOLXTTYBX4RIA7S \
  | 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: e0a57cffdfc836772ef39e037e4500fcb0b2aa8819e7b43de499da3584663f5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c7426e5ccb98ed47a015793034a3672b865820d801bfd2f5e0743f1ee75338",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-04-08T17:01:04Z",
    "title_canon_sha256": "4843d7dd239575f78739fd9d5e2fe8e50d3b829c8b0bf1052b417f38a0e75986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9804048",
    "kind": "arxiv",
    "version": 1
  }
}