Pith Number

pith:SPJDI5D7

pith:2012:SPJDI5D73ESF5UBDOPE4VHIHNZ

not attested not anchored not stored refs pending

Bohr-Sommerfeld-Heisenberg Theory in Geometric Quantization

Jedrzej Sniatycki, Richard Cushman

arxiv:1207.1302 v1 · 2012-07-05 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPJDI5D73ESF5UBDOPE4VHIHNZ}

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	2026-05-18T03:51:46.388370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d234747fd9245ed02373c9ca9d076e65bf0f9c5614528bb0e649906e6899e2

Aliases

arxiv: 1207.1302 · arxiv_version: 1207.1302v1 · doi: 10.48550/arxiv.1207.1302 · pith_short_12: SPJDI5D73ESF · pith_short_16: SPJDI5D73ESF5UBD · pith_short_8: SPJDI5D7

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/SPJDI5D73ESF5UBDOPE4VHIHNZ \
  | 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: 93d234747fd9245ed02373c9ca9d076e65bf0f9c5614528bb0e649906e6899e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e003d131aac4dc009d2c0f424f22521867dc6ec59ba60739e778b5f284e3230",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-07-05T17:21:51Z",
    "title_canon_sha256": "3b8f082ac3d6ff2b5e538e76be7c078a69726a99e9fda986ec0514544a054105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1302",
    "kind": "arxiv",
    "version": 1
  }
}