Pith Number

pith:56XA3F4X

pith:2021:56XA3F4XVGPISOJ6P4PMX2OHYF

not attested not anchored not stored refs pending

Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches

Axel Maas, Guy Hetzroni, Henrique Gomes, Jordan Fran\c{c}ois, Philipp Berghofer, Ren\'e Sondenheimer, Simon Friederich

arxiv:2110.00616 v1 · 2021-10-01 · physics.hist-ph · hep-lat · hep-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{56XA3F4XVGPISOJ6P4PMX2OHYF}

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	2026-07-05T09:21:34.635923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efae0d9797a99e89393e7f1ecbe9c7c17f2e28faca80c0fc4fa38b86682f37ad

Aliases

arxiv: 2110.00616 · arxiv_version: 2110.00616v1 · doi: 10.48550/arxiv.2110.00616 · pith_short_12: 56XA3F4XVGPI · pith_short_16: 56XA3F4XVGPISOJ6 · pith_short_8: 56XA3F4X

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/56XA3F4XVGPISOJ6P4PMX2OHYF \
  | 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: efae0d9797a99e89393e7f1ecbe9c7c17f2e28faca80c0fc4fa38b86682f37ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce5245741fa5750eb289f9982927b84b5a12c6b2d4e6e3b0847991e4fb6e733",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2021-10-01T18:56:00Z",
    "title_canon_sha256": "fa88da8f7715e7a824c99176fe6fd8ffe202a4f44daa0209a8a2a40b0ae02d33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.00616",
    "kind": "arxiv",
    "version": 1
  }
}