Pith Number

pith:QGBHQETA

pith:2016:QGBHQETALB5ACAAEDRMRPKZ4JJ

not attested not anchored not stored refs pending

Exterior power operations on higher $K$-groups via binary complexes

Bernhard K\"ock, Lenny Taelman, Tom Harris

arxiv:1607.01685 v3 · 2016-07-06 · math.KT · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGBHQETALB5ACAAEDRMRPKZ4JJ}

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	2026-05-18T00:42:32.715462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8182781260587a0100041c5917ab3c4a52aa28f615628897f4d024571e34e532

Aliases

arxiv: 1607.01685 · arxiv_version: 1607.01685v3 · doi: 10.48550/arxiv.1607.01685 · pith_short_12: QGBHQETALB5A · pith_short_16: QGBHQETALB5ACAAE · pith_short_8: QGBHQETA

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/QGBHQETALB5ACAAEDRMRPKZ4JJ \
  | 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: 8182781260587a0100041c5917ab3c4a52aa28f615628897f4d024571e34e532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e88a6cffaa7fc220834d985bc1b7d965bff6751535f3a09ff03ff1fb6a4ddc87",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-07-06T15:50:28Z",
    "title_canon_sha256": "69a9aa39ad982a01eea19df12d61d943781167c86f43b75e8a3192489402cffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01685",
    "kind": "arxiv",
    "version": 3
  }
}