Pith Number

pith:WM5CHIC5

pith:2018:WM5CHIC5AWISNJ675UOOCXD7LD

not attested not anchored not stored refs pending

Operations on integral lifts of K(n)

Jack Morava

arxiv:1808.08587 v3 · 2018-08-26 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WM5CHIC5AWISNJ675UOOCXD7LD}

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	2026-05-17T23:42:35.008757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b33a23a05d059126a7dfed1ce15c7f58fd1847d4b4638d797d47e6b7975c4622

Aliases

arxiv: 1808.08587 · arxiv_version: 1808.08587v3 · doi: 10.48550/arxiv.1808.08587 · pith_short_12: WM5CHIC5AWIS · pith_short_16: WM5CHIC5AWISNJ67 · pith_short_8: WM5CHIC5

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/WM5CHIC5AWISNJ675UOOCXD7LD \
  | 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: b33a23a05d059126a7dfed1ce15c7f58fd1847d4b4638d797d47e6b7975c4622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1b70262933b51ff77152153f95787ba926569149bfcb72f7c5d22b126a92a29",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-08-26T16:34:54Z",
    "title_canon_sha256": "57e457250ae92901f3188fd1a7dad8379386d18e370ab55d6d8d3d6a8e61911a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08587",
    "kind": "arxiv",
    "version": 3
  }
}