Pith Number

pith:4B7G7AUF

pith:2012:4B7G7AUFYBGWGFFMEZALC4ZBLD

not attested not anchored not stored refs pending

Ga-actions on affine cones

Mikhail Zaidenberg (IF), Takashi Kishimoto, Yuri Prokhorov

arxiv:1212.4249 v3 · 2012-12-18 · 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{4B7G7AUFYBGWGFFMEZALC4ZBLD}

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	2026-05-18T03:02:59.633175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07e6f8285c04d6314ac2640b1732158c35a16d5a63272a2c824278f2089742c

Aliases

arxiv: 1212.4249 · arxiv_version: 1212.4249v3 · doi: 10.48550/arxiv.1212.4249 · pith_short_12: 4B7G7AUFYBGW · pith_short_16: 4B7G7AUFYBGWGFFM · pith_short_8: 4B7G7AUF

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/4B7G7AUFYBGWGFFMEZALC4ZBLD \
  | 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: e07e6f8285c04d6314ac2640b1732158c35a16d5a63272a2c824278f2089742c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96d3345a1fba2ff34244c9d7d6a8aeb928c50f384719110b06364ab90166f2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-18T07:18:49Z",
    "title_canon_sha256": "ce4732572582664f1dcb5731dadaae664fb9dd50e182cba220cae29eaf522baf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4249",
    "kind": "arxiv",
    "version": 3
  }
}