Pith Number

pith:MARIIJ77

pith:2013:MARIIJ77VNW4MZCKDIUDEEC4AN

not attested not anchored not stored refs pending

Non-connective K- and Nil-spectra of additive categorie

Wolfgang Lueck, Wolfgang Steimle

arxiv:1303.1272 v2 · 2013-03-06 · 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{MARIIJ77VNW4MZCKDIUDEEC4AN}

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	2026-05-18T03:14:17.324475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60228427ffab6dc6644a1a2832105c036209442f7f0d7d4f8ee09cd1273c5177

Aliases

arxiv: 1303.1272 · arxiv_version: 1303.1272v2 · doi: 10.48550/arxiv.1303.1272 · pith_short_12: MARIIJ77VNW4 · pith_short_16: MARIIJ77VNW4MZCK · pith_short_8: MARIIJ77

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/MARIIJ77VNW4MZCKDIUDEEC4AN \
  | 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: 60228427ffab6dc6644a1a2832105c036209442f7f0d7d4f8ee09cd1273c5177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc17eb31eaf26402edb72538c9e903046dd6430a24a4b5f0ac32ad2b7cb8b791",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-03-06T08:23:12Z",
    "title_canon_sha256": "64d0b4f58cfcbfc426eaf9e7d03db4aedb6b8dfb2f0f6e5d8726076c2ae45a21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1272",
    "kind": "arxiv",
    "version": 2
  }
}