Pith Number

pith:BUMEURQ6

pith:2013:BUMEURQ6OJRMLQYF7DC2UQPLWG

not attested not anchored not stored refs pending

A bigroupoid's topology (or, Topologising the homotopy bigroupoid of a space)

David Michael Roberts

arxiv:1302.7019 v3 · 2013-02-27 · math.AT · math.CT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUMEURQ6OJRMLQYF7DC2UQPLWG}

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	2026-05-18T00:24:40.269436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d184a461e7262c5c305f8c5aa41ebb180af9b52d6d11d7e06f3f8c198bc75e9

Aliases

arxiv: 1302.7019 · arxiv_version: 1302.7019v3 · doi: 10.48550/arxiv.1302.7019 · pith_short_12: BUMEURQ6OJRM · pith_short_16: BUMEURQ6OJRMLQYF · pith_short_8: BUMEURQ6

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/BUMEURQ6OJRMLQYF7DC2UQPLWG \
  | 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: 0d184a461e7262c5c305f8c5aa41ebb180af9b52d6d11d7e06f3f8c198bc75e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b196913e726c4c60b66daca639d04ba9e009fe6017a00a4f4aebf6e3992fd34",
    "cross_cats_sorted": [
      "math.CT",
      "math.GN"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-02-27T22:35:50Z",
    "title_canon_sha256": "32d60f690c913bffacb98c117bf94330000b32fa7f255fda5bc1cbc39c6ed7b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7019",
    "kind": "arxiv",
    "version": 3
  }
}