Pith Number

pith:W2Z5VYGT

pith:2011:W2Z5VYGTF3TGO2I4N7PNCBTLRO

not attested not anchored not stored refs pending

The emergence of gauge invariance: the stay-at-home gauge versus local-global duality

A.J. Beekman, J. Zaanen

arxiv:1108.2791 v1 · 2011-08-13 · cond-mat.str-el · 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{W2Z5VYGTF3TGO2I4N7PNCBTLRO}

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	2026-05-18T04:01:49.580270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6b3dae0d32ee667691c6fded1066b8baeb75434bfd2ac3e105d0ec907f72379

Aliases

arxiv: 1108.2791 · arxiv_version: 1108.2791v1 · doi: 10.48550/arxiv.1108.2791 · pith_short_12: W2Z5VYGTF3TG · pith_short_16: W2Z5VYGTF3TGO2I4 · pith_short_8: W2Z5VYGT

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/W2Z5VYGTF3TGO2I4N7PNCBTLRO \
  | 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: b6b3dae0d32ee667691c6fded1066b8baeb75434bfd2ac3e105d0ec907f72379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4a1e566e425878c0fea081dc1c70ee9da470336835465ff92349e0db91b0ecc",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-08-13T13:21:59Z",
    "title_canon_sha256": "f3567d7d47491b175519e9891e398d47ed96dd716c5a82deb0519a3fe8660233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2791",
    "kind": "arxiv",
    "version": 1
  }
}