Pith Number

pith:PCRNSXEK

pith:2011:PCRNSXEKHVNFN36QW5GQLH3LTI

not attested not anchored not stored refs pending

Deformation Quantization and Irrational Numbers

Alan Haynes, Eli Hawkins

arxiv:1105.5541 v1 · 2011-05-27 · math.NT · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCRNSXEKHVNFN36QW5GQLH3LTI}

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	2026-05-18T04:21:11.423834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a2d95c8a3d5a56efd0b74d059f6b9a348eb3a170e4daad0ad103082931386b

Aliases

arxiv: 1105.5541 · arxiv_version: 1105.5541v1 · doi: 10.48550/arxiv.1105.5541 · pith_short_12: PCRNSXEKHVNF · pith_short_16: PCRNSXEKHVNFN36Q · pith_short_8: PCRNSXEK

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/PCRNSXEKHVNFN36QW5GQLH3LTI \
  | 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: 78a2d95c8a3d5a56efd0b74d059f6b9a348eb3a170e4daad0ad103082931386b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b52e2a5aa0c5d565782c7076fa2f977c17e2b4d75ccd8197f29433ff66dd3ce3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-27T12:25:43Z",
    "title_canon_sha256": "3b4613ce1647c91d07b0ac51a26528e05647e8877c2d9ca9c4eacc77ec969743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5541",
    "kind": "arxiv",
    "version": 1
  }
}