Pith Number

pith:AXEMN2PL

pith:2011:AXEMN2PLAN7YRPB3R3Q2BPLLYM

not attested not anchored not stored refs pending

A Fulling-Kuchment theorem for the 1D harmonic oscillator

Hamid Hezari, Victor Guillemin

arxiv:1109.0967 v1 · 2011-09-05 · math.SP · math-ph · math.AP · math.CA · 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{AXEMN2PLAN7YRPB3R3Q2BPLLYM}

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	2026-05-18T02:00:39.597231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05c8c6e9eb037f88bc3b8ee1a0bd6bc301e0c92f72c3986749d27b2b6773e0ef

Aliases

arxiv: 1109.0967 · arxiv_version: 1109.0967v1 · doi: 10.48550/arxiv.1109.0967 · pith_short_12: AXEMN2PLAN7Y · pith_short_16: AXEMN2PLAN7YRPB3 · pith_short_8: AXEMN2PL

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/AXEMN2PLAN7YRPB3R3Q2BPLLYM \
  | 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: 05c8c6e9eb037f88bc3b8ee1a0bd6bc301e0c92f72c3986749d27b2b6773e0ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f33abf2eaf3212e952ecc2f82a87e17b99c1c7b009c9f770a06ffb6af583cea",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-09-05T17:25:15Z",
    "title_canon_sha256": "429ca59d579775dd76c6f398f0bc1ee72a9679ed5aed015bc429c8e0d199e5e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0967",
    "kind": "arxiv",
    "version": 1
  }
}