Pith Number

pith:GR2WX6KV

pith:2019:GR2WX6KVL3APBAGFFNALCZ6ITZ

not attested not anchored not stored refs pending

Two Formulae for Exterior power operations on higher $K$-groups

Bernhard K\"ock, Tom Harris

arxiv:1901.04254 v2 · 2019-01-14 · 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{GR2WX6KVL3APBAGFFNALCZ6ITZ}

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	2026-05-17T23:54:53.179310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34756bf9555ec0f080c52b40b167c89e50c03ae006776a89eb58d5b33f068c34

Aliases

arxiv: 1901.04254 · arxiv_version: 1901.04254v2 · doi: 10.48550/arxiv.1901.04254 · pith_short_12: GR2WX6KVL3AP · pith_short_16: GR2WX6KVL3APBAGF · pith_short_8: GR2WX6KV

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/GR2WX6KVL3APBAGFFNALCZ6ITZ \
  | 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: 34756bf9555ec0f080c52b40b167c89e50c03ae006776a89eb58d5b33f068c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d02f282adfb7400a6c95af708b599e08917a3e0a99ebda17b2c6654ee980a18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-01-14T12:09:53Z",
    "title_canon_sha256": "700c2caee0b4d949ef077f79a41a7fefe09e57c487ecb0962ff44a5ae696cfc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04254",
    "kind": "arxiv",
    "version": 2
  }
}