Pith Number

pith:2I5JA2U7

pith:2011:2I5JA2U7UJLH65BXHM65YJE2JP

not attested not anchored not stored refs pending

Dispersive Estimates for Harmonic Oscillator Systems

Robert Sims, Vita Borovyk

arxiv:1109.1252 v2 · 2011-09-06 · 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{2I5JA2U7UJLH65BXHM65YJE2JP}

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	2026-05-18T03:44:36.272604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d23a906a9fa2567f74373b3ddc249a4bdf95453fd0306a697239d009acfc1d4d

Aliases

arxiv: 1109.1252 · arxiv_version: 1109.1252v2 · doi: 10.48550/arxiv.1109.1252 · pith_short_12: 2I5JA2U7UJLH · pith_short_16: 2I5JA2U7UJLH65BX · pith_short_8: 2I5JA2U7

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/2I5JA2U7UJLH65BXHM65YJE2JP \
  | 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: d23a906a9fa2567f74373b3ddc249a4bdf95453fd0306a697239d009acfc1d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8348949f29ad8abf1eb2287f1a12eba9de272321167f829f305105042ce5918d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-06T18:05:46Z",
    "title_canon_sha256": "153317918bc4e060f023281af0413ff98ed3cf8ecab1d5668fa77b9c8e7dbef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1252",
    "kind": "arxiv",
    "version": 2
  }
}