Pith Number

pith:LCKCOASB

pith:2011:LCKCOASBOLJA3GJRIVOULJNXIN

not attested not anchored not stored refs pending

Toric Elliptic Fibrations and F-Theory Compactifications

Volker Braun

arxiv:1110.4883 v1 · 2011-10-21 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCKCOASBOLJA3GJRIVOULJNXIN}

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	2026-05-18T02:00:07.080051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

589427024172d20d9931455d45a5b7434946fca33cd94e29b43cc2edd8a3794b

Aliases

arxiv: 1110.4883 · arxiv_version: 1110.4883v1 · doi: 10.48550/arxiv.1110.4883 · pith_short_12: LCKCOASBOLJA · pith_short_16: LCKCOASBOLJA3GJR · pith_short_8: LCKCOASB

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/LCKCOASBOLJA3GJRIVOULJNXIN \
  | 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: 589427024172d20d9931455d45a5b7434946fca33cd94e29b43cc2edd8a3794b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "961f451d4e5c6a68563672b54391f154f6ac879e669a5ba9c3abc5c3eca3ac1b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-10-21T19:52:47Z",
    "title_canon_sha256": "6b623203890bd487bc4b76f582c947f2cc43c0c4233478ab151704cb24247824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4883",
    "kind": "arxiv",
    "version": 1
  }
}