Pith Number

pith:AV2SSBNN

pith:2011:AV2SSBNNVB7W3DFLSDGLEUH6WB

not attested not anchored not stored refs pending

Band invariants for perturbations of the harmonic oscillator

Alejandro Uribe, Victor Guillemin, Zuoqin Wang

arxiv:1109.0567 v1 · 2011-09-02 · 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{AV2SSBNNVB7W3DFLSDGLEUH6WB}

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	2026-05-18T04:14:07.306887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05752905ada87f6d8cab90ccb250feb05a22f33cfd5b51ef782e485026deae88

Aliases

arxiv: 1109.0567 · arxiv_version: 1109.0567v1 · doi: 10.48550/arxiv.1109.0567 · pith_short_12: AV2SSBNNVB7W · pith_short_16: AV2SSBNNVB7W3DFL · pith_short_8: AV2SSBNN

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/AV2SSBNNVB7W3DFLSDGLEUH6WB \
  | 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: 05752905ada87f6d8cab90ccb250feb05a22f33cfd5b51ef782e485026deae88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74e5f8a924db66bf511ea332101c192144a93bf7d5604eef8fd7154f9c709352",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-09-02T22:10:19Z",
    "title_canon_sha256": "16f1cc84e2cb1c1f760a42331da9854e67c1ee41351dca21b415da27054afc71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0567",
    "kind": "arxiv",
    "version": 1
  }
}