Pith Number

pith:PKI47SL7

pith:1993:PKI47SL752C72LHNBEQJJMWFDA

not attested not anchored not stored refs pending

Phase Space Reduction and Vortex Statistics: An Anyon Quantization Ambiguity

Andrew J. Bordner, Dennis B. Crossley, Theodore J. Allen

arxiv:hep-th/9304113 v1 · 1993-04-23 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKI47SL752C72LHNBEQJJMWFDA}

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	2026-05-18T03:07:21.343305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a91cfc97fee85fd2ced092094b2c5180ba2b53b9e2b2d01eae445d55a706bac

Aliases

arxiv: hep-th/9304113 · arxiv_version: hep-th/9304113v1 · doi: 10.48550/arxiv.hep-th/9304113 · pith_short_12: PKI47SL752C7 · pith_short_16: PKI47SL752C72LHN · pith_short_8: PKI47SL7

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/PKI47SL752C72LHNBEQJJMWFDA \
  | 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: 7a91cfc97fee85fd2ced092094b2c5180ba2b53b9e2b2d01eae445d55a706bac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a10131d543a1dcc89c32b0c838c1d80665a34db989ebe11be1425390f293858",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-04-23T18:24:00Z",
    "title_canon_sha256": "df3d8c694173d1d1164e7a2af0cb1470489ae096009c3fc42eea3e3ff7490b48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9304113",
    "kind": "arxiv",
    "version": 1
  }
}