Pith Number

pith:IXA5MX7P

pith:2013:IXA5MX7PZDKYRHZAPBZ52GGDEZ

not attested not anchored not stored refs pending

Stokes' theorem, gauge symmetry and the time-dependent Aharonov-Bohm effect

Douglas Singleton, James Macdougall

arxiv:1312.1405 v2 · 2013-12-05 · hep-th · math-ph · math.MP · quant-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{IXA5MX7PZDKYRHZAPBZ52GGDEZ}

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	2026-05-18T02:55:10.699385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c1d65fefc8d5889f207873dd18c3265f45ad64db337e40ded33ede0226169c

Aliases

arxiv: 1312.1405 · arxiv_version: 1312.1405v2 · doi: 10.48550/arxiv.1312.1405 · pith_short_12: IXA5MX7PZDKY · pith_short_16: IXA5MX7PZDKYRHZA · pith_short_8: IXA5MX7P

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/IXA5MX7PZDKYRHZAPBZ52GGDEZ \
  | 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: 45c1d65fefc8d5889f207873dd18c3265f45ad64db337e40ded33ede0226169c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "347e018855741981d7b9f36898daaf9883337884786607b60c7b58283ffb2f4d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-12-05T01:09:00Z",
    "title_canon_sha256": "7c2cd2ee8ce1413ef5004e9034a4ceaf2f6f556a1e38ae0decfc5cd1b810ea30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1405",
    "kind": "arxiv",
    "version": 2
  }
}