Pith Number

pith:PDKWFOXX

pith:1999:PDKWFOXXJH4UAEN5VEG3U5MOFW

not attested not anchored not stored refs pending

Point-like Particles in Fuzzy Space-time

Charles Francis

arxiv:physics/9902001 v4 · 1999-01-30 · physics.gen-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDKWFOXXJH4UAEN5VEG3U5MOFW}

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	2026-07-04T14:44:59.340869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78d562baf749f94011bda90dba758e2d8e7694d8ee95c1fb9c3e4c07d456441a

Aliases

arxiv: physics/9902001 · arxiv_version: physics/9902001v4 · doi: 10.48550/arxiv.physics/9902001 · pith_short_12: PDKWFOXXJH4U · pith_short_16: PDKWFOXXJH4UAEN5 · pith_short_8: PDKWFOXX

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/PDKWFOXXJH4UAEN5VEG3U5MOFW \
  | 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: 78d562baf749f94011bda90dba758e2d8e7694d8ee95c1fb9c3e4c07d456441a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5179d996ab351c0f6bf94f1a47f1e6f74de866ce61e64fe56cc694a7fb9e057",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "1999-01-30T16:49:05Z",
    "title_canon_sha256": "ace65a4f6973be45633c8d28f348914f933b2109fbb43c1a7ff77c8b066a744a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9902001",
    "kind": "arxiv",
    "version": 4
  }
}