Pith Number

pith:WK5TCFPN

pith:2013:WK5TCFPNJDDXD2FHMEUSLFX2O5

not attested not anchored not stored refs pending

Gauge symmetries in 2D field theory

A.A. Sharapov, S.L. Lyakhovich

arxiv:1312.2671 v2 · 2013-12-10 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WK5TCFPNJDDXD2FHMEUSLFX2O5}

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	2026-05-18T01:20:03.937151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2bb3115ed48c771e8a761292596fa77441bb3b964d2fc9386e15ec4f11adf69

Aliases

arxiv: 1312.2671 · arxiv_version: 1312.2671v2 · doi: 10.48550/arxiv.1312.2671 · pith_short_12: WK5TCFPNJDDX · pith_short_16: WK5TCFPNJDDXD2FH · pith_short_8: WK5TCFPN

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/WK5TCFPNJDDXD2FHMEUSLFX2O5 \
  | 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: b2bb3115ed48c771e8a761292596fa77441bb3b964d2fc9386e15ec4f11adf69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4062485c7860a2ac9808f7705ade29f0d5e7eab38b8ce4423c8f53f6209d572",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-10T05:19:33Z",
    "title_canon_sha256": "634f3f680d4b083adce0201b6f29b49e3d7e99f3898244b29d657b974258e4ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2671",
    "kind": "arxiv",
    "version": 2
  }
}