Pith Number

pith:IFR5OD5V

pith:2001:IFR5OD5VVDHFLYT54OP67UWBRJ

not attested not anchored not stored refs pending

Equivariant principal bundles over spheres and cohomogeneity one manifolds

Ian Hambleton, Jean-Claude Hausmann

arxiv:math/0103134 v1 · 2001-03-22 · math.GT · 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{IFR5OD5VVDHFLYT54OP67UWBRJ}

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	2026-05-18T03:34:00.600706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4163d70fb5a8ce55e27de39fefd2c18a5abb11671c1f94ce2dd7086ba2e904bc

Aliases

arxiv: math/0103134 · arxiv_version: math/0103134v1 · doi: 10.48550/arxiv.math/0103134 · pith_short_12: IFR5OD5VVDHF · pith_short_16: IFR5OD5VVDHFLYT5 · pith_short_8: IFR5OD5V

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/IFR5OD5VVDHFLYT54OP67UWBRJ \
  | 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: 4163d70fb5a8ce55e27de39fefd2c18a5abb11671c1f94ce2dd7086ba2e904bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb7c37fbd5bce34172669df1b0f955e04d5120bc2b9a6dc8043aada699049c81",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-03-22T11:04:32Z",
    "title_canon_sha256": "eaaaa4c129bdae347652051c4b10224976bfc45a75b661e4599e16be45695290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103134",
    "kind": "arxiv",
    "version": 1
  }
}