Pith Number

pith:TPDDYTU5

pith:2025:TPDDYTU53PS7CKUBT5JII66ILV

not attested not anchored not stored refs pending

Spectral Geometry with Exceptional Symmetry and Charged Higgs Fields

Shane Farnsworth

arxiv:2506.21496 v1 · 2025-06-26 · math-ph · hep-th · 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{TPDDYTU53PS7CKUBT5JII66ILV}

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	2026-07-05T11:27:46.940761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc63c4e9ddbe5f12a819f52847bc85d4ec0e8cc130d1b1fe0d996331d24b0a0

Aliases

arxiv: 2506.21496 · arxiv_version: 2506.21496v1 · doi: 10.48550/arxiv.2506.21496 · pith_short_12: TPDDYTU53PS7 · pith_short_16: TPDDYTU53PS7CKUB · pith_short_8: TPDDYTU5

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/TPDDYTU53PS7CKUBT5JII66ILV \
  | 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: 9bc63c4e9ddbe5f12a819f52847bc85d4ec0e8cc130d1b1fe0d996331d24b0a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0091803b91fa7e05c01344c127dba311e83702d7b9303c441a4ed91db2f5ec41",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-06-26T17:26:01Z",
    "title_canon_sha256": "63085bf94303d55bbf873ba1166db3d51ac687e8d3e548040fe687d7211c68ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21496",
    "kind": "arxiv",
    "version": 1
  }
}