Pith Number

pith:KQWX2ZZI

pith:2018:KQWX2ZZIOS7WUUMJVIGMHD7D3K

not attested not anchored not stored refs pending

On the relative K-group in the ETNC

Oliver Braunling

arxiv:1806.10856 v1 · 2018-06-28 · math.NT · 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{KQWX2ZZIOS7WUUMJVIGMHD7D3K}

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	2026-05-18T00:12:07.751405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

542d7d672874bf6a5189aa0cc38fe3dab6d002972ddfe3fdd7ebe65342fb7cc5

Aliases

arxiv: 1806.10856 · arxiv_version: 1806.10856v1 · doi: 10.48550/arxiv.1806.10856 · pith_short_12: KQWX2ZZIOS7W · pith_short_16: KQWX2ZZIOS7WUUMJ · pith_short_8: KQWX2ZZI

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/KQWX2ZZIOS7WUUMJVIGMHD7D3K \
  | 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: 542d7d672874bf6a5189aa0cc38fe3dab6d002972ddfe3fdd7ebe65342fb7cc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9954fd29e832e8f05c0b6d4d0260ce26481baf5ed58ce8a5386302ae255b0df2",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-28T09:47:21Z",
    "title_canon_sha256": "faa2e1b963575875819d31d9b4c983c77a0e3a9118ab74e1244cb32331fc767a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10856",
    "kind": "arxiv",
    "version": 1
  }
}