Pith Number

pith:NKH5TNJQ

pith:2019:NKH5TNJQ5ATVCXJRX6SBRZQG5Q

not attested not anchored not stored refs pending

B\"okstedt periodicity and quotients of DVRs

Achim Krause, Thomas Nikolaus

arxiv:1907.03477 v1 · 2019-07-08 · math.AT · 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{NKH5TNJQ5ATVCXJRX6SBRZQG5Q}

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	2026-05-17T23:41:14.504107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8fd9b530e827515d31bfa418e606ec26ef7d1ced068ef507862c95ea2c6b9c

Aliases

arxiv: 1907.03477 · arxiv_version: 1907.03477v1 · doi: 10.48550/arxiv.1907.03477 · pith_short_12: NKH5TNJQ5ATV · pith_short_16: NKH5TNJQ5ATVCXJR · pith_short_8: NKH5TNJQ

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/NKH5TNJQ5ATVCXJRX6SBRZQG5Q \
  | 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: 6a8fd9b530e827515d31bfa418e606ec26ef7d1ced068ef507862c95ea2c6b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fc21faf9df0c66386e8b0e2cfaea7da30e1f7e58939b468e3662f10227941cf",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-07-08T09:31:05Z",
    "title_canon_sha256": "c62b48585af25e68ecf55b8ada760a55cce00b897bc097699d1e6e31555d1ca5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03477",
    "kind": "arxiv",
    "version": 1
  }
}