Pith Number

pith:PKFWTFEQ

pith:2011:PKFWTFEQGTT6EVCGQ26CMTIOUU

not attested not anchored not stored refs pending

Automorphism group of Batyrev Calabi-Yau threefolds

Mohammad Farajzadeh Tehrani

arxiv:1109.3238 v2 · 2011-09-15 · 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{PKFWTFEQGTT6EVCGQ26CMTIOUU}

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	2026-05-18T03:04:38.764377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a8b69949034e7e2544686bc264d0ea5342d4f7507ddc2004e45453036b43033

Aliases

arxiv: 1109.3238 · arxiv_version: 1109.3238v2 · doi: 10.48550/arxiv.1109.3238 · pith_short_12: PKFWTFEQGTT6 · pith_short_16: PKFWTFEQGTT6EVCG · pith_short_8: PKFWTFEQ

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/PKFWTFEQGTT6EVCGQ26CMTIOUU \
  | 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: 7a8b69949034e7e2544686bc264d0ea5342d4f7507ddc2004e45453036b43033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0e5bd125af94d01b2bffbb665e4069fb0560afc2ada61a1f2a7b134a1aed1ad",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-15T02:00:54Z",
    "title_canon_sha256": "66a87b20d8e9a792ad5b43c8ff4891742ce7a5b3e02c42e7a3cb1b9c19856828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3238",
    "kind": "arxiv",
    "version": 2
  }
}