Pith Number

pith:7P5CZKGP

pith:2021:7P5CZKGPMFIUZWZY2IBVQTTO2G

not attested not anchored not stored refs pending

Skeleta and categories of algebras

Jonathan Beardsley, Tyler Lawson

arxiv:2110.09595 v2 · 2021-10-18 · 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{7P5CZKGPMFIUZWZY2IBVQTTO2G}

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.

Cited by

1 paper in Pith

Chromatic defect, Wood's theorem, and higher real $K$-theories

Receipt and verification

First computed	2026-07-05T09:02:08.427874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbfa2ca8cf61514cdb38d203584e6ed1846d5b3938f2799aa3d597ac18e56414

Aliases

arxiv: 2110.09595 · arxiv_version: 2110.09595v2 · doi: 10.48550/arxiv.2110.09595 · pith_short_12: 7P5CZKGPMFIU · pith_short_16: 7P5CZKGPMFIUZWZY · pith_short_8: 7P5CZKGP

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/7P5CZKGPMFIUZWZY2IBVQTTO2G \
  | 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: fbfa2ca8cf61514cdb38d203584e6ed1846d5b3938f2799aa3d597ac18e56414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e02a40978cba0530a89b7a53c8f93d6860407296bf36d0489eee806287b726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-10-18T19:31:21Z",
    "title_canon_sha256": "e6437bb923770aefafb495da68d4fff316f102faf505a1e5db2043c2f1a04806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.09595",
    "kind": "arxiv",
    "version": 2
  }
}