Pith Number

pith:74PYKWLO

pith:2001:74PYKWLOJH7HE6TBFZROXTCHLE

not attested not anchored not stored refs pending

Amoebas of algebraic varieties

Grigory Mikhalkin

arxiv:math/0108225 v1 · 2001-08-31 · math.AG · math.CV · math.GT · 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{74PYKWLOJH7HE6TBFZROXTCHLE}

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	2026-07-04T14:35:30.177896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff1f85596e49fe727a612e62ebcc47591418286800302b6768ad22618041d395

Aliases

arxiv: math/0108225 · arxiv_version: math/0108225v1 · doi: 10.48550/arxiv.math/0108225 · pith_short_12: 74PYKWLOJH7H · pith_short_16: 74PYKWLOJH7HE6TB · pith_short_8: 74PYKWLO

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/74PYKWLOJH7HE6TBFZROXTCHLE \
  | 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: ff1f85596e49fe727a612e62ebcc47591418286800302b6768ad22618041d395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75edac1381c8dc56f74e231ee54e0ba1ce52e901aa31c92c1d69e2618dea1b25",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-08-31T11:26:03Z",
    "title_canon_sha256": "1d806bf5e6c58294ac41476974db864b2dec2d210432abd4282549d4f9c54869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0108225",
    "kind": "arxiv",
    "version": 1
  }
}