Pith Number

pith:AUBZLNRU

pith:2014:AUBZLNRUSWP5HGF2XN3ACIAKBU

not attested not anchored not stored refs pending

Picard-Lefschetz theory and dilating C^*-actions

Paul Seidel

arxiv:1403.7571 v3 · 2014-03-29 · math.SG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUBZLNRUSWP5HGF2XN3ACIAKBU}

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	2026-05-18T00:44:29.104852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

050395b634959fd398babb7601200a0d0137b74f18864c5e447a6183bee378aa

Aliases

arxiv: 1403.7571 · arxiv_version: 1403.7571v3 · doi: 10.48550/arxiv.1403.7571 · pith_short_12: AUBZLNRUSWP5 · pith_short_16: AUBZLNRUSWP5HGF2 · pith_short_8: AUBZLNRU

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/AUBZLNRUSWP5HGF2XN3ACIAKBU \
  | 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: 050395b634959fd398babb7601200a0d0137b74f18864c5e447a6183bee378aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b31a29fc8cc91953fcd722257c173a58b57ca47a56c7e3562730f7f9cc001fd",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-03-29T00:04:33Z",
    "title_canon_sha256": "b2350f669d091fb9e819d8e893d642f5e1c43be9b6dcbaff67ecf82669a7ec9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7571",
    "kind": "arxiv",
    "version": 3
  }
}