Pith Number

pith:OHLZCINZ

pith:2000:OHLZCINZWVPDWH7N2QVJHFBJAX

not attested not anchored not stored refs pending

A uniqueness theorem for stable homotopy theory

Brooke Shipley, Stefan Schwede

arxiv:math/0012021 v1 · 2000-12-04 · 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{OHLZCINZWVPDWH7N2QVJHFBJAX}

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	2026-07-05T00:32:45.519523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71d79121b9b55e3b1fedd42a93942905d0158d0e8a61cff58d96f2456e62b3c9

Aliases

arxiv: math/0012021 · arxiv_version: math/0012021v1 · doi: 10.48550/arxiv.math/0012021 · pith_short_12: OHLZCINZWVPD · pith_short_16: OHLZCINZWVPDWH7N · pith_short_8: OHLZCINZ

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/OHLZCINZWVPDWH7N2QVJHFBJAX \
  | 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: 71d79121b9b55e3b1fedd42a93942905d0158d0e8a61cff58d96f2456e62b3c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321ef0f1e20c01979dc7519a02ad46d94916bf1c48ba628b0c83b651d01e8272",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2000-12-04T16:00:03Z",
    "title_canon_sha256": "0a24e85cb171d472b6c4939a1e7831f87ed75a809d117b72782d3d70a0f5a535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012021",
    "kind": "arxiv",
    "version": 1
  }
}