Pith Number

pith:GBPIFKEJ

pith:2013:GBPIFKEJRLM6Z23SMI63XYAIU6

not attested not anchored not stored refs pending

Lefschetz fibrations on adjoint orbits

E. Gasparim, L. A. B. San Martin, L. Grama

arxiv:1309.4418 v3 · 2013-09-17 · math.SG · 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{GBPIFKEJRLM6Z23SMI63XYAIU6}

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	2026-05-18T01:10:23.954525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

305e82a8898ad9eceb72623dbbe008a78cfd81b5f99f1ec91f23b09dc1fd0fc0

Aliases

arxiv: 1309.4418 · arxiv_version: 1309.4418v3 · doi: 10.48550/arxiv.1309.4418 · pith_short_12: GBPIFKEJRLM6 · pith_short_16: GBPIFKEJRLM6Z23S · pith_short_8: GBPIFKEJ

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/GBPIFKEJRLM6Z23SMI63XYAIU6 \
  | 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: 305e82a8898ad9eceb72623dbbe008a78cfd81b5f99f1ec91f23b09dc1fd0fc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b7399a47e0771fe697fadce523f650990af49fbbf1979475bec45e23664745",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-09-17T18:33:45Z",
    "title_canon_sha256": "d82ce93398643e12eaaebc32d47b569bebb74bf03bedab59302d97315fa6b581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4418",
    "kind": "arxiv",
    "version": 3
  }
}