Pith Number

pith:TYAVR5CA

pith:2012:TYAVR5CAXQZTB4W7TUSB73O5JK

not attested not anchored not stored refs pending

On trivialities of Stiefel-Whitney classes of vector bundles over iterated suspensions of Dold manifolds

Ajay Singh Thakur

arxiv:1209.2261 v1 · 2012-09-11 · 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{TYAVR5CAXQZTB4W7TUSB73O5JK}

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	2026-05-18T03:26:52.818917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e0158f440bc3330f2df9d241feddd4a8540780ce5d1a400b33d810015c4cfa2

Aliases

arxiv: 1209.2261 · arxiv_version: 1209.2261v1 · doi: 10.48550/arxiv.1209.2261 · pith_short_12: TYAVR5CAXQZT · pith_short_16: TYAVR5CAXQZTB4W7 · pith_short_8: TYAVR5CA

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/TYAVR5CAXQZTB4W7TUSB73O5JK \
  | 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: 9e0158f440bc3330f2df9d241feddd4a8540780ce5d1a400b33d810015c4cfa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "947e24bf82a9f5222fdf9a027d6c97558f869cfe9cb17339ae6c8d34d598395f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-09-11T09:03:43Z",
    "title_canon_sha256": "3fae71c1a78cecf916b08b496500891dfefc8f821be3089aab828247ab642251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2261",
    "kind": "arxiv",
    "version": 1
  }
}