Pith Number

pith:XYPE7HES

pith:2026:XYPE7HESBTHXOMJY323QIQSRHN

not attested not anchored not stored refs pending

A Century of Group Theory in Particle Physics and Beyond

Paul Sorba

arxiv:2607.05225 v1 · 2026-07-06 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYPE7HESBTHXOMJY323QIQSRHN}

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	2026-07-07T03:19:20.164279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1e4f9c920ccf773138deb70442513b7b561e8a5ae8dd9ba78617737612bafd

Aliases

arxiv: 2607.05225 · arxiv_version: 2607.05225v1 · doi: 10.48550/arxiv.2607.05225 · pith_short_12: XYPE7HESBTHX · pith_short_16: XYPE7HESBTHXOMJY · pith_short_8: XYPE7HES

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/XYPE7HESBTHXOMJY323QIQSRHN \
  | 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: be1e4f9c920ccf773138deb70442513b7b561e8a5ae8dd9ba78617737612bafd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1dfd84edd0efc2767cc8634a8ca00e0a737a1728c261ee377717134f814e8bf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-06T15:39:46Z",
    "title_canon_sha256": "4d4b65654c7df86296b75f2095d56ea8f0f2096cb5ec156e25fa46e1a01802a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05225",
    "kind": "arxiv",
    "version": 1
  }
}