Pith Number

pith:3WMU4YMQ

pith:2024:3WMU4YMQT24CEGHYW6Q6BBP2MI

not attested not anchored not stored refs pending

Morava $J$-invariant

Andrei Lavrenov, Nikita Geldhauser, Pavel Sechin, Victor Petrov

arxiv:2409.14099 v1 · 2024-09-21 · 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{3WMU4YMQT24CEGHYW6Q6BBP2MI}

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	2026-07-05T09:10:11.694966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd994e61909eb82218f8b7a1e085fa620096cf79000460b7b09a470e87ee75fb

Aliases

arxiv: 2409.14099 · arxiv_version: 2409.14099v1 · doi: 10.48550/arxiv.2409.14099 · pith_short_12: 3WMU4YMQT24C · pith_short_16: 3WMU4YMQT24CEGHY · pith_short_8: 3WMU4YMQ

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/3WMU4YMQT24CEGHYW6Q6BBP2MI \
  | 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: dd994e61909eb82218f8b7a1e085fa620096cf79000460b7b09a470e87ee75fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ca7eb26655cfe5ed484014bfad275bc79ba2be92bd4e59e9720315d4cdfe68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2024-09-21T10:48:45Z",
    "title_canon_sha256": "c5bb138a797efb7dffbbc59cf66247cfd2201f4e6bb1d847846364cae81cc2fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.14099",
    "kind": "arxiv",
    "version": 1
  }
}