Pith Number

pith:ZIISHY4Z

pith:2014:ZIISHY4ZG3ZZFA53WZDPJ7X4SQ

not attested not anchored not stored refs pending

Lagrangian tori in four-dimensional Milnor fibres

Ailsa Keating

arxiv:1405.0744 v2 · 2014-05-04 · math.SG · math.AG · 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{ZIISHY4ZG3ZZFA53WZDPJ7X4SQ}

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	2026-05-18T01:30:08.442816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca1123e39936f39283bbb646f4fefc9405dca376b6495a8859fac70a81f96687

Aliases

arxiv: 1405.0744 · arxiv_version: 1405.0744v2 · doi: 10.48550/arxiv.1405.0744 · pith_short_12: ZIISHY4ZG3ZZ · pith_short_16: ZIISHY4ZG3ZZFA53 · pith_short_8: ZIISHY4Z

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/ZIISHY4ZG3ZZFA53WZDPJ7X4SQ \
  | 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: ca1123e39936f39283bbb646f4fefc9405dca376b6495a8859fac70a81f96687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb176f04ecdfb312a15054e4613f20b312ee5c0076498903b8edf9ed6f5b4fd0",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-05-04T21:08:12Z",
    "title_canon_sha256": "3ddc4e256151ca7738617e471c70f327f988e5e0156ada9db3aae31c821ce34e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0744",
    "kind": "arxiv",
    "version": 2
  }
}