Pith Number

pith:LD2S6253

pith:2016:LD2S62533IBS5CO7RNIZCBAROP

not attested not anchored not stored refs pending

Betti numbers in three dimensional minimal model program

Hsin-Ku Chen

arxiv:1605.04372 v1 · 2016-05-14 · 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{LD2S62533IBS5CO7RNIZCBAROP}

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	2026-05-17T23:43:43.586719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58f52f6bbbda032e89df8b5191041173c759ca071aded8c23175e031a47c9df8

Aliases

arxiv: 1605.04372 · arxiv_version: 1605.04372v1 · doi: 10.48550/arxiv.1605.04372 · pith_short_12: LD2S62533IBS · pith_short_16: LD2S62533IBS5CO7 · pith_short_8: LD2S6253

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/LD2S62533IBS5CO7RNIZCBAROP \
  | 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: 58f52f6bbbda032e89df8b5191041173c759ca071aded8c23175e031a47c9df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa08b9fe9da084ab685ef646c3da140e9b021a39bfddc292ead864a591e1a92d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-14T03:34:56Z",
    "title_canon_sha256": "00536e211725988b24131b7c946a21b3bf0bd31c5b88fb89154c112f6a250ea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04372",
    "kind": "arxiv",
    "version": 1
  }
}