Pith Number

pith:L6XG52VN

pith:2019:L6XG52VNI7J32S6DFFTFJS7SEF

not attested not anchored not stored refs pending

A homological approach to chromatic complexity of algebraic K-theory

Gabriel Angelini-Knoll, J.D. Quigley

arxiv:1908.09164 v3 · 2019-08-24 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6XG52VNI7J32S6DFFTFJS7SEF}

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	2026-07-05T11:14:44.391044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fae6eeaad47d3bd4bc3296654cbf2215100a1c169abe98e312ef30d408901ef

Aliases

arxiv: 1908.09164 · arxiv_version: 1908.09164v3 · doi: 10.48550/arxiv.1908.09164 · pith_short_12: L6XG52VNI7J3 · pith_short_16: L6XG52VNI7J32S6D · pith_short_8: L6XG52VN

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/L6XG52VNI7J32S6DFFTFJS7SEF \
  | 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: 5fae6eeaad47d3bd4bc3296654cbf2215100a1c169abe98e312ef30d408901ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db1eab19282b5ebdd71b60da3b638f426252987d35388ee0208cf0073f89ba7",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-08-24T16:34:10Z",
    "title_canon_sha256": "c2bf1e253b5a3a2a1bb41b89210a31710b6f209250e52180895995c8efbcba0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09164",
    "kind": "arxiv",
    "version": 3
  }
}