Pith Number

pith:RC4A6DUB

pith:2019:RC4A6DUBM7P35PIJUIPJWV6I3C

not attested not anchored not stored refs pending

A Quillen model structure on the category of Kontsevich-Soibelman weakly unital dg categories

Boris Shoikhet, Piergiorgio Panero

arxiv:1907.07970 v1 · 2019-07-18 · math.KT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RC4A6DUBM7P35PIJUIPJWV6I3C}

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	2026-05-17T23:40:15.526309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b80f0e8167dfbebd09a21e9b57c8d8bba14f52fd53f62f52181b0be63fbcf5

Aliases

arxiv: 1907.07970 · arxiv_version: 1907.07970v1 · doi: 10.48550/arxiv.1907.07970 · pith_short_12: RC4A6DUBM7P3 · pith_short_16: RC4A6DUBM7P35PIJ · pith_short_8: RC4A6DUB

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/RC4A6DUBM7P35PIJUIPJWV6I3C \
  | 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: 88b80f0e8167dfbebd09a21e9b57c8d8bba14f52fd53f62f52181b0be63fbcf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b65409f89d996d7bdc861a71138527344ed0e48985f8624af01c065bc14bd649",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-07-18T10:29:10Z",
    "title_canon_sha256": "cc69e73fd3f84c96105ccdc11919bca6edc755c30b7ffe23cee2a7f79d74b859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07970",
    "kind": "arxiv",
    "version": 1
  }
}