Pith Number

pith:NXMJH5GW

pith:2012:NXMJH5GWEOCWBKJDB2FBRVWB53

not attested not anchored not stored refs pending

Quantization of conic Lagrangian submanifolds of cotangent bundles

St\'ephane Guillermou

arxiv:1212.5818 v2 · 2012-12-23 · math.SG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXMJH5GWEOCWBKJDB2FBRVWB53}

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	2026-05-18T02:28:48.378588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dd893f4d6238560a9230e8a18d6c1eefb6a5598d9441a361e53b783e56b2453

Aliases

arxiv: 1212.5818 · arxiv_version: 1212.5818v2 · doi: 10.48550/arxiv.1212.5818 · pith_short_12: NXMJH5GWEOCW · pith_short_16: NXMJH5GWEOCWBKJD · pith_short_8: NXMJH5GW

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/NXMJH5GWEOCWBKJDB2FBRVWB53 \
  | 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: 6dd893f4d6238560a9230e8a18d6c1eefb6a5598d9441a361e53b783e56b2453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d18553f047e7c6d703f2054c69d3538d19174e7893514224209893391c13fd24",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-12-23T17:35:00Z",
    "title_canon_sha256": "845f75576b95274021bef53b3524fa564e3696b5409e028b38faac0ecf47d62b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5818",
    "kind": "arxiv",
    "version": 2
  }
}