Pith Number

pith:FFUS55KV

pith:2012:FFUS55KVLWHYCM4R6GJALUEO72

not attested not anchored not stored refs pending

Stability conditions and birational geometry of projective surfaces

Yukinobu Toda

arxiv:1205.3602 v2 · 2012-05-16 · 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{FFUS55KVLWHYCM4R6GJALUEO72}

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	2026-05-17T23:53:18.725192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29692ef5555d8f813391f19205d08efea0caef431cba9a552bb4a671d2302ea6

Aliases

arxiv: 1205.3602 · arxiv_version: 1205.3602v2 · doi: 10.48550/arxiv.1205.3602 · pith_short_12: FFUS55KVLWHY · pith_short_16: FFUS55KVLWHYCM4R · pith_short_8: FFUS55KV

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/FFUS55KVLWHYCM4R6GJALUEO72 \
  | 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: 29692ef5555d8f813391f19205d08efea0caef431cba9a552bb4a671d2302ea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3c6b50b7d54ebeccddaef04f4206badb0bec6c20068e4705ddafb7feeec208c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-16T09:10:05Z",
    "title_canon_sha256": "3d6d10d387ededd675573a1192387e7cb90eee2f8dd9c809d7c8f20ca3945ebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3602",
    "kind": "arxiv",
    "version": 2
  }
}