Pith Number

pith:BTXGOHBD

pith:2008:BTXGOHBDPIYPLMALRZJAXXVRWW

not attested not anchored not stored refs pending

Principal 2-bundles and their gauge 2-groups

Christoph Wockel

arxiv:0803.3692 v4 · 2008-03-26 · math.DG · 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{BTXGOHBDPIYPLMALRZJAXXVRWW}

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.

Cited by

2 papers in Pith

On spherical Milnor Classifying Spaces I: differential geometry

Spherical Milnor Spaces II: Projective Quotients and Higher Topological Structures

Receipt and verification

First computed	2026-05-18T04:13:57.117067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cee671c237a30f5b00b8e520bdeb1b585de587d4c08d3d8f7b22cca33f23b26

Aliases

arxiv: 0803.3692 · arxiv_version: 0803.3692v4 · doi: 10.48550/arxiv.0803.3692 · pith_short_12: BTXGOHBDPIYP · pith_short_16: BTXGOHBDPIYPLMAL · pith_short_8: BTXGOHBD

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/BTXGOHBDPIYPLMALRZJAXXVRWW \
  | 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: 0cee671c237a30f5b00b8e520bdeb1b585de587d4c08d3d8f7b22cca33f23b26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736cf1a776f6c327395de89a3e8aefc528fcf9d099d4b2cf22097a1024c449e4",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-03-26T10:38:04Z",
    "title_canon_sha256": "c1211e815274a7a649c065dc81f8c37a8b708c93c782398678314768a5441e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3692",
    "kind": "arxiv",
    "version": 4
  }
}