Pith Number

pith:LGCX2OEC

pith:2011:LGCX2OECSWH6G5YU4UNMOM7ER6

not attested not anchored not stored refs pending

Constraints on GUT 7-brane Topology in F-theory

Hirotaka Hayashi, Taizan Watari, Teruhiko Kawano

arxiv:1112.2032 v2 · 2011-12-09 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGCX2OECSWH6G5YU4UNMOM7ER6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:59:14.615009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59857d3882958fe37714e51ac733e48fab5e3c427305adda8de7f149527869ee

Aliases

arxiv: 1112.2032 · arxiv_version: 1112.2032v2 · doi: 10.48550/arxiv.1112.2032 · pith_short_12: LGCX2OECSWH6 · pith_short_16: LGCX2OECSWH6G5YU · pith_short_8: LGCX2OEC

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/LGCX2OECSWH6G5YU4UNMOM7ER6 \
  | 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: 59857d3882958fe37714e51ac733e48fab5e3c427305adda8de7f149527869ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e4e280bc8d650a28ec2b44c2fad3c6a17a9e500849b6775647f31b83c8e4364",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-12-09T07:32:01Z",
    "title_canon_sha256": "dab81fc90b76bff28590852d36ce1d17278496b55014eae96ef9e78297f8c6c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2032",
    "kind": "arxiv",
    "version": 2
  }
}