Pith Number

pith:FFS3I2CD

pith:2011:FFS3I2CDWCM4DSJ4AVP52FKOJJ

not attested not anchored not stored refs pending

Gauge Invariance and the Goldstone Theorem

Gerald Guralnik

arxiv:1107.4592 v1 · 2011-07-22 · hep-th · hep-ph · physics.hist-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFS3I2CDWCM4DSJ4AVP52FKOJJ}

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	2026-05-18T04:16:22.252636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2965b46843b099c1c93c055fdd154e4a7a0ceedd13a913bb588ed8632487afdd

Aliases

arxiv: 1107.4592 · arxiv_version: 1107.4592v1 · doi: 10.48550/arxiv.1107.4592 · pith_short_12: FFS3I2CDWCM4 · pith_short_16: FFS3I2CDWCM4DSJ4 · pith_short_8: FFS3I2CD

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/FFS3I2CDWCM4DSJ4AVP52FKOJJ \
  | 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: 2965b46843b099c1c93c055fdd154e4a7a0ceedd13a913bb588ed8632487afdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eee7df2998ecf3d9b6f5bd06d0241a093f02c085c1405df610cf9c1278855c4",
    "cross_cats_sorted": [
      "hep-ph",
      "physics.hist-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-07-22T18:50:48Z",
    "title_canon_sha256": "3af4c43956c5d6ba8f7bda461bf084ab758b6fec2c0e8b55352c1e176c25c7b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4592",
    "kind": "arxiv",
    "version": 1
  }
}