Pith Number

pith:WZJZPMLQ

pith:2011:WZJZPMLQ7LRZJNCH7AUDWART4J

not attested not anchored not stored refs pending

A note on the rigidity of unmeasured lamination spaces

Ken'ichi Ohshika

arxiv:1112.6056 v1 · 2011-12-28 · 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{WZJZPMLQ7LRZJNCH7AUDWART4J}

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	2026-05-18T04:05:36.984980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b65397b170fae394b447f8283b0233e26ceca8ff9c62ac0782fe5edc7a94e88a

Aliases

arxiv: 1112.6056 · arxiv_version: 1112.6056v1 · doi: 10.48550/arxiv.1112.6056 · pith_short_12: WZJZPMLQ7LRZ · pith_short_16: WZJZPMLQ7LRZJNCH · pith_short_8: WZJZPMLQ

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/WZJZPMLQ7LRZJNCH7AUDWART4J \
  | 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: b65397b170fae394b447f8283b0233e26ceca8ff9c62ac0782fe5edc7a94e88a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "061767826dc14de4563d6709f78b6c90a4d8fcd984ea26fa2b699c289aa4bd76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-28T03:46:29Z",
    "title_canon_sha256": "64bea67249fbe439c1bccf70f2cba5a0db5c58e66c90f63cf5c78c87c96f6b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6056",
    "kind": "arxiv",
    "version": 1
  }
}