Pith Number

pith:FQOFZA3O

pith:2026:FQOFZA3OUPBG4CQOI67THVFK3W

not attested not anchored not stored refs pending

The geometry-first formulation of gauge theory is not equivalent to the symmetry-first one

Henrique Gomes

arxiv:2607.24901 v1 · 2026-07-27 · physics.hist-ph · 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{FQOFZA3OUPBG4CQOI67THVFK3W}

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	2026-07-29T00:24:50.669857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c1c5c836ea3c26e0a0e47bf33d4aadda958311f4479d6f84a66c8a6ed34873f

Aliases

arxiv: 2607.24901 · arxiv_version: 2607.24901v1 · doi: 10.48550/arxiv.2607.24901 · pith_short_12: FQOFZA3OUPBG · pith_short_16: FQOFZA3OUPBG4CQO · pith_short_8: FQOFZA3O

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/FQOFZA3OUPBG4CQOI67THVFK3W \
  | 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: 2c1c5c836ea3c26e0a0e47bf33d4aadda958311f4479d6f84a66c8a6ed34873f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d08db0cc6fc412af93c73ac2852da7a185785933160bf3255dc6f8dc9028adc",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2026-07-27T16:56:47Z",
    "title_canon_sha256": "21eff68e69385b9df4a6bc26a9eefee1ee554181afc4f2ddea9044e83591079f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24901",
    "kind": "arxiv",
    "version": 1
  }
}