Pith Number

pith:TCQLMVFH

pith:2013:TCQLMVFHKTTHQMR3PM7HCDXUJU

not attested not anchored not stored refs pending

Elliptic Fibrations with Rank Three Mordell-Weil Group: F-theory with U(1) x U(1) x U(1) Gauge Symmetry

Denis Klevers, Hernan Piragua, Mirjam Cvetic, Peng Song

arxiv:1310.0463 v1 · 2013-10-01 · 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{TCQLMVFHKTTHQMR3PM7HCDXUJU}

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	2026-05-18T01:47:16.933888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a0b654a754e678323b7b3e710ef44d290de38baf703276a1bb3381f08a4ce8

Aliases

arxiv: 1310.0463 · arxiv_version: 1310.0463v1 · doi: 10.48550/arxiv.1310.0463 · pith_short_12: TCQLMVFHKTTH · pith_short_16: TCQLMVFHKTTHQMR3 · pith_short_8: TCQLMVFH

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/TCQLMVFHKTTHQMR3PM7HCDXUJU \
  | 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: 98a0b654a754e678323b7b3e710ef44d290de38baf703276a1bb3381f08a4ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d96414eeac5917847ed128f5279631a23516250d80f0914987262e2a002133b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-10-01T20:00:04Z",
    "title_canon_sha256": "18ed57de5fc760db37727ff3138064c216f00e028cf921d42ffa50aaa23e2f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0463",
    "kind": "arxiv",
    "version": 1
  }
}