Pith Number

pith:O735V64M

pith:2004:O735V64MM57LKMSSCVJTNPKW7Q

not attested not anchored not stored refs pending

The Algebraic Proof of the Universality Theorem

Ai-Ko Liu

arxiv:math/0402045 v1 · 2004-02-03 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O735V64MM57LKMSSCVJTNPKW7Q}

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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

Counting curves in a linear system with upto eight singular points

Receipt and verification

First computed	2026-07-04T14:38:12.517398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f7dafb8c677eb53252155336bd56fc27a36172d78d6199423f1cd67889652c

Aliases

arxiv: math/0402045 · arxiv_version: math/0402045v1 · doi: 10.48550/arxiv.math/0402045 · pith_short_12: O735V64MM57L · pith_short_16: O735V64MM57LKMSS · pith_short_8: O735V64M

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/O735V64MM57LKMSSCVJTNPKW7Q \
  | 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: 77f7dafb8c677eb53252155336bd56fc27a36172d78d6199423f1cd67889652c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cce9bbe77180f2c21b8e872a940b9a8230107aea72e6421652d0fdd1141ab12",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-02-03T21:41:00Z",
    "title_canon_sha256": "f92996ed6ab153f38c15d9d3f440744f9787cbf766532728d7d3c1b9bf598309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402045",
    "kind": "arxiv",
    "version": 1
  }
}