Pith Number

pith:GEGRT4V4

pith:2014:GEGRT4V4ZCB3ZLRMJ2R2IA3LHQ

not attested not anchored not stored refs pending

Universal Lefschetz fibrations and Lefschetz cobordisms

Daniele Zuddas

arxiv:1403.2203 v3 · 2014-03-10 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GEGRT4V4ZCB3ZLRMJ2R2IA3LHQ}

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	2026-05-18T01:20:02.099331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

310d19f2bcc883bcae2c4ea3a4036b3c1989cabbfe60f914e572d11defdaf087

Aliases

arxiv: 1403.2203 · arxiv_version: 1403.2203v3 · doi: 10.48550/arxiv.1403.2203 · pith_short_12: GEGRT4V4ZCB3 · pith_short_16: GEGRT4V4ZCB3ZLRM · pith_short_8: GEGRT4V4

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/GEGRT4V4ZCB3ZLRMJ2R2IA3LHQ \
  | 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: 310d19f2bcc883bcae2c4ea3a4036b3c1989cabbfe60f914e572d11defdaf087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f27790b734d05a1b971f16b1714a34871110e61db25b79f6bd74e414369de99b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-10T10:08:17Z",
    "title_canon_sha256": "68f1a37b700fd707b52836de6be7d842d88a0be5fbf2ba89d575ab082e4f9826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2203",
    "kind": "arxiv",
    "version": 3
  }
}