Pith Number

pith:O7C2JRPZ

pith:2010:O7C2JRPZTSM3EC7RLZRVXTV7SU

not attested not anchored not stored refs pending

Homotopy Theory for C^{*}-algebras

Otgonbayar Uuye

arxiv:1011.2926 v4 · 2010-11-12 · math.KT · math.AT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7C2JRPZTSM3EC7RLZRVXTV7SU}

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	2026-05-18T03:31:33.028861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c5a4c5f99c99b20bf15e635bcebf95320402e0ea9e4870f7b969ef98400788

Aliases

arxiv: 1011.2926 · arxiv_version: 1011.2926v4 · doi: 10.48550/arxiv.1011.2926 · pith_short_12: O7C2JRPZTSM3 · pith_short_16: O7C2JRPZTSM3EC7R · pith_short_8: O7C2JRPZ

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/O7C2JRPZTSM3EC7RLZRVXTV7SU \
  | 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: 77c5a4c5f99c99b20bf15e635bcebf95320402e0ea9e4870f7b969ef98400788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da137c2ae659cd9e33111b90104b7d842a492c752d76d0c697d7a5f6299b9333",
    "cross_cats_sorted": [
      "math.AT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-11-12T14:46:26Z",
    "title_canon_sha256": "dc7a84ec73a7e6aa460bc451b8b5679d2e78c64023f2a34158a2928f440d8bc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2926",
    "kind": "arxiv",
    "version": 4
  }
}