Pith Number

pith:L72OGBNP

pith:2024:L72OGBNPFGRJYHTWW6V4NSXRDZ

not attested not anchored not stored refs pending

Cocycles in Lie Groups, Cochains and Regularity Problem

Ros\'ario D. Laureano

arxiv:2411.18757 v1 · 2024-11-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L72OGBNPFGRJYHTWW6V4NSXRDZ}

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	2026-07-05T09:41:51.020199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff4e305af29a29c1e76b7abc6caf11e4fa4aeeff56f43104232d6c92e316740

Aliases

arxiv: 2411.18757 · arxiv_version: 2411.18757v1 · doi: 10.48550/arxiv.2411.18757 · pith_short_12: L72OGBNPFGRJ · pith_short_16: L72OGBNPFGRJYHTW · pith_short_8: L72OGBNP

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/L72OGBNPFGRJYHTWW6V4NSXRDZ \
  | 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: 5ff4e305af29a29c1e76b7abc6caf11e4fa4aeeff56f43104232d6c92e316740

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4dd9d9bafe77dc1f40cf06e50116a7dfae4502849ed3a63b2c3cf832cabf85a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-11-27T21:22:31Z",
    "title_canon_sha256": "07f1c0fe27607e1df058eb1867f4da48e7bafee40391a325b4d4e3d6d760d16f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18757",
    "kind": "arxiv",
    "version": 1
  }
}