Pith Number

pith:SWHDS65B

pith:2008:SWHDS65BJ2YBA6CXBMQGMTV2GM

not attested not anchored not stored refs pending

On the Pontryagin-Steenrod-Wu theorem

Du\v{s}an Repov\v{s}, Fulvia Spaggiari, Mikhail Skopenkov

arxiv:0808.1209 v2 · 2008-08-08 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWHDS65BJ2YBA6CXBMQGMTV2GM}

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	2026-05-18T03:25:06.379427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

958e397ba14eb01078570b20664eba332447839d76b26de8752ea954605dbdda

Aliases

arxiv: 0808.1209 · arxiv_version: 0808.1209v2 · doi: 10.48550/arxiv.0808.1209 · pith_short_12: SWHDS65BJ2YB · pith_short_16: SWHDS65BJ2YBA6CX · pith_short_8: SWHDS65B

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/SWHDS65BJ2YBA6CXBMQGMTV2GM \
  | 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: 958e397ba14eb01078570b20664eba332447839d76b26de8752ea954605dbdda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "954125c68a977fa5b92dcbcab4e3e69433cfeca50c1d1689ae7245d5667c62de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-08-08T13:21:12Z",
    "title_canon_sha256": "65d71dfc13b9d755fe3e4999b587dba8979c8aebc0e13920aa9c399beb907a07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1209",
    "kind": "arxiv",
    "version": 2
  }
}