Pith Number

pith:7LLPVGF2

pith:2003:7LLPVGF2A6OQ5KJBD46QFSQ6O4

not attested not anchored not stored refs pending

Exceptional Groups and Physics

Pierre Ramond

arxiv:hep-th/0301050 v1 · 2003-01-08 · 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{7LLPVGF2A6OQ5KJBD46QFSQ6O4}

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

Exceptional Periodicity and Magic Star Algebras. I : Foundations

Receipt and verification

First computed	2026-07-04T14:31:54.778169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fad6fa98ba079d0ea9211f3d02ca1e77212b1dbb872b91fd2187c93a3363af9e

Aliases

arxiv: hep-th/0301050 · arxiv_version: hep-th/0301050v1 · doi: 10.48550/arxiv.hep-th/0301050 · pith_short_12: 7LLPVGF2A6OQ · pith_short_16: 7LLPVGF2A6OQ5KJB · pith_short_8: 7LLPVGF2

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/7LLPVGF2A6OQ5KJBD46QFSQ6O4 \
  | 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: fad6fa98ba079d0ea9211f3d02ca1e77212b1dbb872b91fd2187c93a3363af9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a011e8e28dd0d5804e6b851d77a6d48d588a989585386a7a56703d1f527aed1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-01-08T20:30:12Z",
    "title_canon_sha256": "5f1b482c39c9f27c95f62b16ea5609a14c07c8f64e175798627ccb4ee858bee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0301050",
    "kind": "arxiv",
    "version": 1
  }
}