Pith Number

pith:HM27L4UI

pith:2012:HM27L4UI5RYSJDLPO3JD2CRL4O

not attested not anchored not stored refs pending

On the algebraic K-theory of higher categories

C. Barwick

arxiv:1204.3607 v6 · 2012-04-16 · math.KT · math.AT · 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{HM27L4UI5RYSJDLPO3JD2CRL4O}

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	2026-05-18T00:44:30.402957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b35f5f288ec71248d6f76d23d0a2be3a85583445054af3eab9581c48ba70549

Aliases

arxiv: 1204.3607 · arxiv_version: 1204.3607v6 · doi: 10.48550/arxiv.1204.3607 · pith_short_12: HM27L4UI5RYS · pith_short_16: HM27L4UI5RYSJDLP · pith_short_8: HM27L4UI

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/HM27L4UI5RYSJDLPO3JD2CRL4O \
  | 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: 3b35f5f288ec71248d6f76d23d0a2be3a85583445054af3eab9581c48ba70549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9242f08119a6e02c031febb2dc171e60a082b85fbd8dc2681adf02d157b2eb3c",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-04-16T19:23:42Z",
    "title_canon_sha256": "791dfc2e95a5ad69ed554bb3a2645d0d613017d97d127f3926e9b5c3ab6ecc35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3607",
    "kind": "arxiv",
    "version": 6
  }
}