Pith Number

pith:XSOZ5PJM

pith:2011:XSOZ5PJMNLQXLB2ZBXM743HUSZ

not attested not anchored not stored refs pending

Bridge decompositions with distances at least two

Kazuto Takao

arxiv:1106.0963 v2 · 2011-06-06 · 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{XSOZ5PJMNLQXLB2ZBXM743HUSZ}

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	2026-05-18T03:40:49.674428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc9d9ebd2c6ae17587590dd9fe6cf49640cfbfdc8b4b167ccc4f41b68bb2550a

Aliases

arxiv: 1106.0963 · arxiv_version: 1106.0963v2 · doi: 10.48550/arxiv.1106.0963 · pith_short_12: XSOZ5PJMNLQX · pith_short_16: XSOZ5PJMNLQXLB2Z · pith_short_8: XSOZ5PJM

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/XSOZ5PJMNLQXLB2ZBXM743HUSZ \
  | 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: bc9d9ebd2c6ae17587590dd9fe6cf49640cfbfdc8b4b167ccc4f41b68bb2550a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d8177cbc9de3ea48599f746c71da1558ce65d0ed88f1c742321d4e5140e008e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-06T06:07:25Z",
    "title_canon_sha256": "0b9f0e2931fe31ba355a39dfce1b6c086584ef3406c65a3b77200b9dfd6e05df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0963",
    "kind": "arxiv",
    "version": 2
  }
}