Pith Number

pith:2YZPFWSR

pith:2007:2YZPFWSRN54O2IKFOBIQJK6KZY

not attested not anchored not stored refs pending

A new higher homotopy groupoid: the fundamental globular omega-groupoid of a filtered space

Ronald Brown

arxiv:math/0702677 v1 · 2007-02-22 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YZPFWSRN54O2IKFOBIQJK6KZY}

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	2026-05-18T03:10:34.747031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d632f2da516f78ed2145705104abcace13c8080db6eba3c67edb9ab7b4b7445d

Aliases

arxiv: math/0702677 · arxiv_version: math/0702677v1 · doi: 10.48550/arxiv.math/0702677 · pith_short_12: 2YZPFWSRN54O · pith_short_16: 2YZPFWSRN54O2IKF · pith_short_8: 2YZPFWSR

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/2YZPFWSRN54O2IKFOBIQJK6KZY \
  | 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: d632f2da516f78ed2145705104abcace13c8080db6eba3c67edb9ab7b4b7445d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99aca3ebf6df1d0151d328d82085aee4136dd6aeb697825e173de848e830ffa5",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-02-22T21:57:53Z",
    "title_canon_sha256": "66c8155a25c5cf7071619ee9ca3046d2c1fe70dbcefc73d3b984942e070e03ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702677",
    "kind": "arxiv",
    "version": 1
  }
}