Pith Number

pith:JCLVPAIK

pith:2009:JCLVPAIK24OF3SIK34JO7DFDCB

not attested not anchored not stored refs pending

On the Moore Formula of Compact Nilmanifolds

Hatem Hamrouni

arxiv:0906.2623 v1 · 2009-06-15 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCLVPAIK24OF3SIK34JO7DFDCB}

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	2026-07-04T15:43:50.862048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

489757810ad71c5dc90adf12ef8ca31076607b367220cd268b215d5d432f906f

Aliases

arxiv: 0906.2623 · arxiv_version: 0906.2623v1 · doi: 10.48550/arxiv.0906.2623 · pith_short_12: JCLVPAIK24OF · pith_short_16: JCLVPAIK24OF3SIK · pith_short_8: JCLVPAIK

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/JCLVPAIK24OF3SIK34JO7DFDCB \
  | 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: 489757810ad71c5dc90adf12ef8ca31076607b367220cd268b215d5d432f906f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c0e3d4b0473e1b4665b23ec3dc82b0ff170fe427d5f726c22a2b48e5e97631",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-06-15T19:18:02Z",
    "title_canon_sha256": "319ccc25f561b543655c9f5c4dc5f5065f5fc682f04e7b7690c3f4afefc0bd0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2623",
    "kind": "arxiv",
    "version": 1
  }
}