Pith Number

pith:UKNKVQZP

pith:2016:UKNKVQZPZHSOSAGLJUGEEEAIJ6

not attested not anchored not stored refs pending

On quasi-categories of comodules and Landweber exactness

Takeshi Torii

arxiv:1612.03265 v1 · 2016-12-10 · 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{UKNKVQZPZHSOSAGLJUGEEEAIJ6}

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	2026-05-18T00:55:19.800125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a29aaac32fc9e4e900cb4d0c4210084fbc1bd1fdfa051ea0c9171dc738112f68

Aliases

arxiv: 1612.03265 · arxiv_version: 1612.03265v1 · doi: 10.48550/arxiv.1612.03265 · pith_short_12: UKNKVQZPZHSO · pith_short_16: UKNKVQZPZHSOSAGL · pith_short_8: UKNKVQZP

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/UKNKVQZPZHSOSAGLJUGEEEAIJ6 \
  | 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: a29aaac32fc9e4e900cb4d0c4210084fbc1bd1fdfa051ea0c9171dc738112f68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85d4121ae178cd3fd4834af36e34f5677b38b328a688837c285cb5dc3097354a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-12-10T07:42:34Z",
    "title_canon_sha256": "d69acb94f6f72fda7129ae39917c7913fbdbd0f4d5174fc5c65b76df7819be7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03265",
    "kind": "arxiv",
    "version": 1
  }
}