Pith Number

pith:F7X7KNE3

pith:2009:F7X7KNE3C5XXRATQLWF2XSCS72

not attested not anchored not stored refs pending

Introduction to Stokes structures

Claude Sabbah

arxiv:0912.2762 v5 · 2009-12-14 · 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{F7X7KNE3C5XXRATQLWF2XSCS72}

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	2026-05-18T03:41:44.352235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2feff5349b176f7882705d8babc852febe05d378247234faa44b2e9508cb90d4

Aliases

arxiv: 0912.2762 · arxiv_version: 0912.2762v5 · doi: 10.48550/arxiv.0912.2762 · pith_short_12: F7X7KNE3C5XX · pith_short_16: F7X7KNE3C5XXRATQ · pith_short_8: F7X7KNE3

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/F7X7KNE3C5XXRATQLWF2XSCS72 \
  | 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: 2feff5349b176f7882705d8babc852febe05d378247234faa44b2e9508cb90d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a750a9261363a0add1a5d259738bd42f5a8c895f6ded6ecfcb7def8c997cf4f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-14T22:10:29Z",
    "title_canon_sha256": "6860d1dd67ace7149f097161aa7c582dcab47f69a073d62b22b6505de0f0d991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2762",
    "kind": "arxiv",
    "version": 5
  }
}