Pith Number

pith:IBZVZCGZ

pith:2015:IBZVZCGZVQJMA4YZELFZ7U3VAP

not attested not anchored not stored refs pending

Counting components of an integral lamination

S. Oyku Yurttas, Toby Hall

arxiv:1512.08341 v2 · 2015-12-28 · 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{IBZVZCGZVQJMA4YZELFZ7U3VAP}

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	2026-05-18T01:23:15.844497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40735c88d9ac12c0731922cb9fd37503f8b3d1d0d4870ca8e58b56d2b058b382

Aliases

arxiv: 1512.08341 · arxiv_version: 1512.08341v2 · doi: 10.48550/arxiv.1512.08341 · pith_short_12: IBZVZCGZVQJM · pith_short_16: IBZVZCGZVQJMA4YZ · pith_short_8: IBZVZCGZ

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/IBZVZCGZVQJMA4YZELFZ7U3VAP \
  | 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: 40735c88d9ac12c0731922cb9fd37503f8b3d1d0d4870ca8e58b56d2b058b382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e5372444d3e6ded4c05a16eb2f3307e3c567dfb39a5efbfe653519dbac2c322",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-28T08:39:06Z",
    "title_canon_sha256": "5bfbbd283abbfc87deb28e6e45135846cef4d48ff6df2688e97a5fd5b272ca4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08341",
    "kind": "arxiv",
    "version": 2
  }
}