Pith Number

pith:TW5B2YL2

pith:2004:TW5B2YL2YRB4MOTO5SIMTAYTIE

not attested not anchored not stored refs pending

On quantum symmetries of the non--ADE graph F4

Esteban Isasi (CPT), Robert Coquereaux (CPT)

arxiv:hep-th/0409201 v3 · 2004-09-20 · 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{TW5B2YL2YRB4MOTO5SIMTAYTIE}

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	2026-05-18T00:05:57.371713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dba1d617ac443c63a6eec90c983134124b7d2d0642a5598590df69de265f8b9

Aliases

arxiv: hep-th/0409201 · arxiv_version: hep-th/0409201v3 · doi: 10.48550/arxiv.hep-th/0409201 · pith_short_12: TW5B2YL2YRB4 · pith_short_16: TW5B2YL2YRB4MOTO · pith_short_8: TW5B2YL2

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/TW5B2YL2YRB4MOTO5SIMTAYTIE \
  | 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: 9dba1d617ac443c63a6eec90c983134124b7d2d0642a5598590df69de265f8b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bdb60d0aabbeda6781ef33aefa98fb1a7d426818e5f197c7f690977efe4af0b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-09-20T14:08:05Z",
    "title_canon_sha256": "b6f5673bc4a0becb0c4ab75468dccb91182c9a0342577de374b0069406d0dff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0409201",
    "kind": "arxiv",
    "version": 3
  }
}