Pith Number

pith:5OCHFQW4

pith:2011:5OCHFQW4JIPWCHYXEMUYAXO543

not attested not anchored not stored refs pending

A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples

Shengkui Ye

arxiv:1107.3392 v2 · 2011-07-18 · math.KT · math.AT · 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{5OCHFQW4JIPWCHYXEMUYAXO543}

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	2026-05-18T03:35:14.365692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb8472c2dc4a1f611f172329805ddde6c1d281749d940c54406de277bffccae0

Aliases

arxiv: 1107.3392 · arxiv_version: 1107.3392v2 · doi: 10.48550/arxiv.1107.3392 · pith_short_12: 5OCHFQW4JIPW · pith_short_16: 5OCHFQW4JIPWCHYX · pith_short_8: 5OCHFQW4

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/5OCHFQW4JIPWCHYXEMUYAXO543 \
  | 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: eb8472c2dc4a1f611f172329805ddde6c1d281749d940c54406de277bffccae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c819c5d2d59c131215d0137ed0cc1780329c88632b9e8c7fab2e61a24b9bec4",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-07-18T10:15:09Z",
    "title_canon_sha256": "b6b519d1694e844ab78f3912ff4814ee7fb4eaebc7ed09bd997315dc3db5d064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3392",
    "kind": "arxiv",
    "version": 2
  }
}