Pith Number

pith:FRYKXZHB

pith:2003:FRYKXZHBBAN3RWFH2KQPA6GCFS

not attested not anchored not stored refs pending

Scaling algebras for charged fields and short-distance analysis for localizable and topological charges

Claudio D'Antoni, Gerardo Morsella, Rainer Verch

arxiv:math-ph/0307048 v1 · 2003-07-23 · math-ph · hep-th · 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{FRYKXZHBBAN3RWFH2KQPA6GCFS}

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	2026-07-04T16:41:39.004822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c70abe4e1081bb8d8a7d2a0f078c22c8f428ba286aeefe8ee7b3b91fe18b335

Aliases

arxiv: math-ph/0307048 · arxiv_version: math-ph/0307048v1 · doi: 10.48550/arxiv.math-ph/0307048 · pith_short_12: FRYKXZHBBAN3 · pith_short_16: FRYKXZHBBAN3RWFH · pith_short_8: FRYKXZHB

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/FRYKXZHBBAN3RWFH2KQPA6GCFS \
  | 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: 2c70abe4e1081bb8d8a7d2a0f078c22c8f428ba286aeefe8ee7b3b91fe18b335

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13981855ec5e5b376f307f02ca2458accff563ca5e176dce6c3055f359d241d0",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-07-23T13:43:41Z",
    "title_canon_sha256": "767276be47d93d5d4ccbc5307707fdfeaf4c96dc87f99d7d2aa96e76611fac70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0307048",
    "kind": "arxiv",
    "version": 1
  }
}