Pith Number

pith:ZGTY6WO3

pith:2011:ZGTY6WO3EWO2FOLZCWF6NIIIZR

not attested not anchored not stored refs pending

Monoidal cofibrant resolutions of dg algebras

Boris Shoikhet

arxiv:1112.2360 v3 · 2011-12-11 · math.KT · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGTY6WO3EWO2FOLZCWF6NIIIZR}

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	2026-05-18T04:00:28.171917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a78f59db259da2b979158be6a108cc552d4bd238aacde24e4e0c9dccbfe7e8

Aliases

arxiv: 1112.2360 · arxiv_version: 1112.2360v3 · doi: 10.48550/arxiv.1112.2360 · pith_short_12: ZGTY6WO3EWO2 · pith_short_16: ZGTY6WO3EWO2FOLZ · pith_short_8: ZGTY6WO3

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/ZGTY6WO3EWO2FOLZCWF6NIIIZR \
  | 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: c9a78f59db259da2b979158be6a108cc552d4bd238aacde24e4e0c9dccbfe7e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c5cffcba975ed47896f574f072ae03666f61a5c5ea8c8187b747a98771eb245",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-12-11T14:21:17Z",
    "title_canon_sha256": "9e5297087d028d3002910b1391309d39152b4b4b1062a5dd07a7c4a4936f7ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2360",
    "kind": "arxiv",
    "version": 3
  }
}