Pith Number

pith:66UMH5PV

pith:2007:66UMH5PVNZ4IXDY7FOCI6VRCRX

not attested not anchored not stored refs pending

On the capacity of Lagrangians in the cotangent disc bundle of the torus

Claude Viterbo (CMLS-EcolePolytechnique)

arxiv:0801.0208 v2 · 2007-12-31 · 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{66UMH5PVNZ4IXDY7FOCI6VRCRX}

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	2026-05-18T04:15:06.887207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7a8c3f5f56e788b8f1f2b848f56228dd95c77bb92544cd6b899c68f5584fadf

Aliases

arxiv: 0801.0208 · arxiv_version: 0801.0208v2 · doi: 10.48550/arxiv.0801.0208 · pith_short_12: 66UMH5PVNZ4I · pith_short_16: 66UMH5PVNZ4IXDY7 · pith_short_8: 66UMH5PV

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/66UMH5PVNZ4IXDY7FOCI6VRCRX \
  | 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: f7a8c3f5f56e788b8f1f2b848f56228dd95c77bb92544cd6b899c68f5584fadf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73e0d59ab335a18c4906afb2a6bb7dcf93ecd757d4cd205d0ea0499a1df9b7e6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2007-12-31T14:06:30Z",
    "title_canon_sha256": "2a5c773ef12a5f5f4dacfce03f4c35175c9613e14f589da217699a7f4165469c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0208",
    "kind": "arxiv",
    "version": 2
  }
}