Pith Number

pith:FGW5LO5H

pith:2015:FGW5LO5HG2YZ6XXIQJ3B5DHZSJ

not attested not anchored not stored refs pending

The Arithmetic of Elliptic Fibrations in Gauge Theories on a Circle

Andreas Kapfer, Denis Klevers, Thomas W. Grimm

arxiv:1510.04281 v1 · 2015-10-14 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGW5LO5HG2YZ6XXIQJ3B5DHZSJ}

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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.

Cited by

1 paper in Pith

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups

Receipt and verification

First computed	2026-05-18T01:10:52.246400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29add5bba736b19f5ee882761e8cf9927a368884afe1100a43a692a736a20b30

Aliases

arxiv: 1510.04281 · arxiv_version: 1510.04281v1 · doi: 10.48550/arxiv.1510.04281 · pith_short_12: FGW5LO5HG2YZ · pith_short_16: FGW5LO5HG2YZ6XXI · pith_short_8: FGW5LO5H

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/FGW5LO5HG2YZ6XXIQJ3B5DHZSJ \
  | 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: 29add5bba736b19f5ee882761e8cf9927a368884afe1100a43a692a736a20b30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a6756f9f7ee7455bfd0535ec27a52b4189770c2e2d15bed2aa5432e7296091",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-10-14T20:16:18Z",
    "title_canon_sha256": "e17815ae7222d3bcde976a331519ca2f51c344015e6ba0c3550e3a057b547094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04281",
    "kind": "arxiv",
    "version": 1
  }
}