Pith Number

pith:PBKJUFOT

pith:2003:PBKJUFOTQQPXCQD7UAEHICW4XK

not attested not anchored not stored refs pending

Exceptional Projective Geometries and Internal Symmetries

Sultan Catto

arxiv:hep-th/0302079 v1 · 2003-02-11 · 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{PBKJUFOTQQPXCQD7UAEHICW4XK}

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.

Cited by

1 paper in Pith

The bare necessities of a physically reasonable mathematical model for quantum theory

Receipt and verification

First computed	2026-07-04T14:31:55.509949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78549a15d3841f71407fa008740adcba8c9d7ccc62e9733668e69cd263808057

Aliases

arxiv: hep-th/0302079 · arxiv_version: hep-th/0302079v1 · doi: 10.48550/arxiv.hep-th/0302079 · pith_short_12: PBKJUFOTQQPX · pith_short_16: PBKJUFOTQQPXCQD7 · pith_short_8: PBKJUFOT

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/PBKJUFOTQQPXCQD7UAEHICW4XK \
  | 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: 78549a15d3841f71407fa008740adcba8c9d7ccc62e9733668e69cd263808057

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d545dba9c48ceb957d7d1916b97ac5114c850a0c343973f0d557f51344685742",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-02-11T22:25:14Z",
    "title_canon_sha256": "25d43aea406444e50cd5bc9ac30f590ce1fe979a5246a3baca8f67f4047a6e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0302079",
    "kind": "arxiv",
    "version": 1
  }
}