Pith Number

pith:GIXNYHSS

pith:2010:GIXNYHSSMYK32DHAW6CJWWYVLL

not attested not anchored not stored refs pending

A metric Kan-Thurston theorem

Ian J. Leary

arxiv:1009.1540 v3 · 2010-09-08 · math.GR · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIXNYHSSMYK32DHAW6CJWWYVLL}

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	2026-05-18T02:58:01.797340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

322edc1e526615bd0ce0b7849b5b155adf8d1ffa50ac3be7e39a66aa622eda2c

Aliases

arxiv: 1009.1540 · arxiv_version: 1009.1540v3 · doi: 10.48550/arxiv.1009.1540 · pith_short_12: GIXNYHSSMYK3 · pith_short_16: GIXNYHSSMYK32DHA · pith_short_8: GIXNYHSS

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/GIXNYHSSMYK32DHAW6CJWWYVLL \
  | 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: 322edc1e526615bd0ce0b7849b5b155adf8d1ffa50ac3be7e39a66aa622eda2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25da3bdd5c8fe53b21e2652540e9b1b2aa2d6c8807f0e5acb98e7ca4996b270e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-08T14:14:45Z",
    "title_canon_sha256": "dc137557498f9c45a85f90afbcdffb221792e8191f45d3d8c6121d3f009950aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1540",
    "kind": "arxiv",
    "version": 3
  }
}