Pith Number

pith:5XNAB7N4

pith:2015:5XNAB7N4LORQDNPER37DQQTRKY

not attested not anchored not stored refs pending

Classifying Finite Dimensional Cubulations of Tubular Groups

Daniel J. Woodhouse

arxiv:1502.02619 v2 · 2015-02-09 · math.GR · 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{5XNAB7N4LORQDNPER37DQQTRKY}

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	2026-05-18T01:19:48.615010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edda00fdbc5ba301b5e48efe38427156396ae381903e90f4580a49daa7e1d0f8

Aliases

arxiv: 1502.02619 · arxiv_version: 1502.02619v2 · doi: 10.48550/arxiv.1502.02619 · pith_short_12: 5XNAB7N4LORQ · pith_short_16: 5XNAB7N4LORQDNPE · pith_short_8: 5XNAB7N4

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/5XNAB7N4LORQDNPER37DQQTRKY \
  | 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: edda00fdbc5ba301b5e48efe38427156396ae381903e90f4580a49daa7e1d0f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f0b1ed6df5b3f41517d1a34ab324bc524f8ee2271a4dcaf269b9c651a1b2886",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-02-09T19:30:26Z",
    "title_canon_sha256": "ca86e453ead12ee608161212963517108d294ae87bda250c3d7cc77a2b3003f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02619",
    "kind": "arxiv",
    "version": 2
  }
}