Pith Number

pith:3FATFLE4

pith:2017:3FATFLE4HR42VIOCHRVFA3EK5I

not attested not anchored not stored refs pending

When Rational Sections Become Cyclic: Gauge Enhancement in F-theory via Mordell--Weil Torsion

Craig Lawrie, Florent Baume, Ling Lin, Mirjam Cvetic

arxiv:1709.07453 v1 · 2017-09-21 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FATFLE4HR42VIOCHRVFA3EK5I}

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	2026-05-18T00:19:26.703175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94132ac9c3c79aaa1c23c6a506c8aea327ee8af739ab58f9b43e574b76e029c

Aliases

arxiv: 1709.07453 · arxiv_version: 1709.07453v1 · doi: 10.48550/arxiv.1709.07453 · pith_short_12: 3FATFLE4HR42 · pith_short_16: 3FATFLE4HR42VIOC · pith_short_8: 3FATFLE4

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/3FATFLE4HR42VIOCHRVFA3EK5I \
  | 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: d94132ac9c3c79aaa1c23c6a506c8aea327ee8af739ab58f9b43e574b76e029c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc4ba86fb646ab64bcb073d2a76ef200a1f254431b15251804affcf80e57a249",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-09-21T18:00:00Z",
    "title_canon_sha256": "96a690725531891a5612d47204397fe0c7e036e906b528dc09fa559319713393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07453",
    "kind": "arxiv",
    "version": 1
  }
}