Pith Number

pith:OL4WOILP

pith:2011:OL4WOILP4FKMRLY25NAEGV3TWB

not attested not anchored not stored refs pending

A semiclassical heat trace expansion for the perturbed harmonic oscillator

Alejandro Uribe, Victor Guillemin, Zuoqin Wang

arxiv:1107.2960 v2 · 2011-07-14 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OL4WOILP4FKMRLY25NAEGV3TWB}

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	2026-05-18T04:14:16.293957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72f967216fe154c8af1aeb40435773b06960f1475922e7def819e15cbe0093af

Aliases

arxiv: 1107.2960 · arxiv_version: 1107.2960v2 · doi: 10.48550/arxiv.1107.2960 · pith_short_12: OL4WOILP4FKM · pith_short_16: OL4WOILP4FKMRLY2 · pith_short_8: OL4WOILP

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/OL4WOILP4FKMRLY25NAEGV3TWB \
  | 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: 72f967216fe154c8af1aeb40435773b06960f1475922e7def819e15cbe0093af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f2533374008bce48cdb60af6da830f8d23111a33fa2f9f4b10f424ab3415dcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-07-14T21:51:30Z",
    "title_canon_sha256": "888825048d017665727f10295500d02931aa6a9131f815febef2a50451693b56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2960",
    "kind": "arxiv",
    "version": 2
  }
}