Pith Number

pith:O6TQP6P7

pith:2015:O6TQP6P7PD4ITWNS3YOBNGK42G

not attested not anchored not stored refs pending

Semiclassical states associated to isotropic submanifolds of phase space

Alejandro Uribe, Victor Guillemin, Zuoqin Wang

arxiv:1511.01241 v2 · 2015-11-04 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6TQP6P7PD4ITWNS3YOBNGK42G}

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	2026-05-18T01:12:07.576739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a707f9ff78f889d9b2de1c16995cd189301332efdbbd4927bd1a8a71e277d7

Aliases

arxiv: 1511.01241 · arxiv_version: 1511.01241v2 · doi: 10.48550/arxiv.1511.01241 · pith_short_12: O6TQP6P7PD4I · pith_short_16: O6TQP6P7PD4ITWNS · pith_short_8: O6TQP6P7

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/O6TQP6P7PD4ITWNS3YOBNGK42G \
  | 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: 77a707f9ff78f889d9b2de1c16995cd189301332efdbbd4927bd1a8a71e277d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a9383e2e350e2823c04f993f4ff6795e81a2c3fd164de870b7a01b588597534",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-04T08:40:41Z",
    "title_canon_sha256": "fb2c81aa642c9701e762c9c5c3d636af0bf81608cab819de9b97f73d396998fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01241",
    "kind": "arxiv",
    "version": 2
  }
}