Pith Number

pith:Z56XYB5Y

pith:2011:Z56XYB5YYMBACQOLN2NZ7O5SBT

not attested not anchored not stored refs pending

Gribov pendulum in the Coulomb gauge on curved spaces

Alex Giacomini, Fabrizio Canfora, Julio Oliva

arxiv:1109.0909 v2 · 2011-09-05 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z56XYB5YYMBACQOLN2NZ7O5SBT}

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	2026-05-18T02:00:39.750576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7d7c07b8c3020141cb6e9b9fbbb20cd6bdf53f2e407346f5a5649e80fb7803

Aliases

arxiv: 1109.0909 · arxiv_version: 1109.0909v2 · doi: 10.48550/arxiv.1109.0909 · pith_short_12: Z56XYB5YYMBA · pith_short_16: Z56XYB5YYMBACQOL · pith_short_8: Z56XYB5Y

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/Z56XYB5YYMBACQOLN2NZ7O5SBT \
  | 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: cf7d7c07b8c3020141cb6e9b9fbbb20cd6bdf53f2e407346f5a5649e80fb7803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2eb36027d379364c17e8d2970da973996772d2a6282bb0060da347cccf72e92",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-05T14:17:13Z",
    "title_canon_sha256": "f592bed875b2d35ed1d7f0aa0a4544b1537024f15326f92c0f2062c0cf3c8ac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0909",
    "kind": "arxiv",
    "version": 2
  }
}