Pith Number

pith:7OU4WURL

pith:2012:7OU4WURLRBDPDV2P3SZLR2HIQL

not attested not anchored not stored refs pending

Kontsevich's conjecture on an algebraic formula for vanishing cycles of local systems

Claude Sabbah, Morihiko Saito

arxiv:1212.0436 v3 · 2012-12-03 · 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{7OU4WURLRBDPDV2P3SZLR2HIQL}

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	2026-05-18T03:14:28.066203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba9cb522b8846f1d74fdcb2b8e8e882d5606c5a7702538b0c3b70ff2aa2d5d5

Aliases

arxiv: 1212.0436 · arxiv_version: 1212.0436v3 · doi: 10.48550/arxiv.1212.0436 · pith_short_12: 7OU4WURLRBDP · pith_short_16: 7OU4WURLRBDPDV2P · pith_short_8: 7OU4WURL

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/7OU4WURLRBDPDV2P3SZLR2HIQL \
  | 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: fba9cb522b8846f1d74fdcb2b8e8e882d5606c5a7702538b0c3b70ff2aa2d5d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34776cde766391d2444bf08d8072d0b15454139236a20bd8dec6bfe115390f87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-03T16:25:12Z",
    "title_canon_sha256": "1cd020c1745c408358e11796d2d29366f58d5981dadd774e8c988347d303256e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0436",
    "kind": "arxiv",
    "version": 3
  }
}