Pith Number

pith:PVMHD42J

pith:2026:PVMHD42J6PIBNC5IIXHIYVYUKI

not attested not anchored not stored refs pending

On presentations of K-groups by generators and relations

Bernhard K\"ock

arxiv:2605.28461 v1 · 2026-05-27 · 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{PVMHD42J6PIBNC5IIXHIYVYUKI}

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	2026-05-28T02:04:53.718835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d5871f349f3d0168ba845ce8c5714521b51e5d24fb19235cca3514fcfe20f57

Aliases

arxiv: 2605.28461 · arxiv_version: 2605.28461v1 · doi: 10.48550/arxiv.2605.28461 · pith_short_12: PVMHD42J6PIB · pith_short_16: PVMHD42J6PIBNC5I · pith_short_8: PVMHD42J

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/PVMHD42J6PIBNC5IIXHIYVYUKI \
  | 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: 7d5871f349f3d0168ba845ce8c5714521b51e5d24fb19235cca3514fcfe20f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8691fff022388ae09d06c3a4ff4a05efe51a3b01adfd5d93880f5949acaa8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2026-05-27T13:28:10Z",
    "title_canon_sha256": "83dfecc0f6894c4d632f6b84e1018a26c83be725a417a799562b2403a4357303"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28461",
    "kind": "arxiv",
    "version": 1
  }
}