Pith Number

pith:U7DBFIFI

pith:2012:U7DBFIFIGJETQSWL3B44OEO3KU

not attested not anchored not stored refs pending

On the automorphism group of rational manifolds

Turgay Bayraktar

arxiv:1210.4651 v1 · 2012-10-17 · math.DS · 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{U7DBFIFIGJETQSWL3B44OEO3KU}

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	2026-05-18T03:42:56.552077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c612a0a83249384acbd879c711db552fe933688c68b37e9f483b7b9b48c3b7

Aliases

arxiv: 1210.4651 · arxiv_version: 1210.4651v1 · doi: 10.48550/arxiv.1210.4651 · pith_short_12: U7DBFIFIGJET · pith_short_16: U7DBFIFIGJETQSWL · pith_short_8: U7DBFIFI

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/U7DBFIFIGJETQSWL3B44OEO3KU \
  | 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: a7c612a0a83249384acbd879c711db552fe933688c68b37e9f483b7b9b48c3b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5ba305301e9c58a3d55f0a23916212cb76dc177ea811b1050a07bd4b60e5976",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-17T07:36:08Z",
    "title_canon_sha256": "22d26a41ea1bf9c511f73ef341d95dc7cad9816b33e7bb4101eabf275c11a948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4651",
    "kind": "arxiv",
    "version": 1
  }
}