Pith Number

pith:KGK2Z35S

pith:2011:KGK2Z35SBXGLKYX2BBAGGMTSOO

not attested not anchored not stored refs pending

Homology cylinders of higher-order

Takahiro Kitayama

arxiv:1108.5903 v2 · 2011-08-30 · 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{KGK2Z35SBXGLKYX2BBAGGMTSOO}

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	2026-05-18T02:41:43.703182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5195acefb20dccb562fa0840633272739431aa36eeecd220f9dabd3f6d457a60

Aliases

arxiv: 1108.5903 · arxiv_version: 1108.5903v2 · doi: 10.48550/arxiv.1108.5903 · pith_short_12: KGK2Z35SBXGL · pith_short_16: KGK2Z35SBXGLKYX2 · pith_short_8: KGK2Z35S

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/KGK2Z35SBXGLKYX2BBAGGMTSOO \
  | 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: 5195acefb20dccb562fa0840633272739431aa36eeecd220f9dabd3f6d457a60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ba1241e6cd52e272202ed5bef140a0a50f2c6b8192276622f102f8d0d01446a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-30T10:15:36Z",
    "title_canon_sha256": "fa883ea1d268c77222efb68c21f84914887a27f26a3e6de0572a09a6cd6c0bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5903",
    "kind": "arxiv",
    "version": 2
  }
}