Pith Number

pith:GLEYHZRU

pith:2000:GLEYHZRUVFAD3BJ26AT5B76AQ5

not attested not anchored not stored refs pending

Electromagnetism and Gauge Theory on the Permutation Group $S_3$

E. Raineri, Shahn Majid

arxiv:hep-th/0012123 v3 · 2000-12-14 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLEYHZRUVFAD3BJ26AT5B76AQ5}

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	2026-05-18T01:38:55.012389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32c983e634a9403d853af027d0ffc0874dd8b291f3895aa0373e346fcd6331ee

Aliases

arxiv: hep-th/0012123 · arxiv_version: hep-th/0012123v3 · doi: 10.48550/arxiv.hep-th/0012123 · pith_short_12: GLEYHZRUVFAD · pith_short_16: GLEYHZRUVFAD3BJ2 · pith_short_8: GLEYHZRU

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/GLEYHZRUVFAD3BJ26AT5B76AQ5 \
  | 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: 32c983e634a9403d853af027d0ffc0874dd8b291f3895aa0373e346fcd6331ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a317a9fab0f485f12c781fb5a0d5f94fe9953b137399a97e43e46960218a71bf",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-14T17:01:11Z",
    "title_canon_sha256": "1b2d118da08533c23185b36859a31821e67f3535d71aeb2c7311d5968b56f156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012123",
    "kind": "arxiv",
    "version": 3
  }
}