Pith Number

pith:YCIC52JT

pith:2013:YCIC52JTYSJ7J4DQYLP3KBIGEM

not attested not anchored not stored refs pending

Parabolic automorphisms of projective surfaces (after M. H. Gizatullin)

Julien Grivaux

arxiv:1307.1771 v2 · 2013-07-06 · 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{YCIC52JTYSJ7J4DQYLP3KBIGEM}

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	2026-05-18T00:33:28.078248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0902ee933c493f4f070c2dfb505062338bff298a7236e76d3d461c2b6348349

Aliases

arxiv: 1307.1771 · arxiv_version: 1307.1771v2 · doi: 10.48550/arxiv.1307.1771 · pith_short_12: YCIC52JTYSJ7 · pith_short_16: YCIC52JTYSJ7J4DQ · pith_short_8: YCIC52JT

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/YCIC52JTYSJ7J4DQYLP3KBIGEM \
  | 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: c0902ee933c493f4f070c2dfb505062338bff298a7236e76d3d461c2b6348349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10757e69ed1f4cad27597044500d4d476da261da0eaa0d05af44f14080b7b511",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-06T10:36:22Z",
    "title_canon_sha256": "3d3bc355c473e2a2d487711ccc9f9feb30b6d2fffbe5ce40d6e7c7faf552e366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1771",
    "kind": "arxiv",
    "version": 2
  }
}