Pith Number

pith:6U2DHE2O

pith:2009:6U2DHE2O6NSM7HYXMKQA3RRMYY

not attested not anchored not stored refs pending

Affine Toric Equivalence Relations are Effective

Claudiu Raicu

arxiv:0905.4805 v2 · 2009-05-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6U2DHE2O6NSM7HYXMKQA3RRMYY}

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	2026-05-18T03:26:21.079522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f53433934ef364cf9f1762a00dc62cc60e5b360ef6643587755ead23a97cf47f

Aliases

arxiv: 0905.4805 · arxiv_version: 0905.4805v2 · doi: 10.48550/arxiv.0905.4805 · pith_short_12: 6U2DHE2O6NSM · pith_short_16: 6U2DHE2O6NSM7HYX · pith_short_8: 6U2DHE2O

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/6U2DHE2O6NSM7HYXMKQA3RRMYY \
  | 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: f53433934ef364cf9f1762a00dc62cc60e5b360ef6643587755ead23a97cf47f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5132908c40b52d6986d8ed6bf7ed706aa0ad467eb07e07b8f2c4872a593133ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-29T19:54:03Z",
    "title_canon_sha256": "9a54e10e7ec0d0eda08e879a0b539fe87bfae938d01219fea38244e2e0594b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4805",
    "kind": "arxiv",
    "version": 2
  }
}