Pith Number

pith:2MMTQCBG

pith:2011:2MMTQCBGGOFZAEBSPIUJQFQTQZ

not attested not anchored not stored refs pending

Seven dimensional flat manifolds with cyclic holonomy

Rafa{\l} Lutowski

arxiv:1101.2633 v3 · 2011-01-13 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MMTQCBGGOFZAEBSPIUJQFQTQZ}

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	2026-05-18T04:10:47.107497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d319380826338b9010327a28981613864ae3ad4d14cd51cd4369f51cfd485afb

Aliases

arxiv: 1101.2633 · arxiv_version: 1101.2633v3 · doi: 10.48550/arxiv.1101.2633 · pith_short_12: 2MMTQCBGGOFZ · pith_short_16: 2MMTQCBGGOFZAEBS · pith_short_8: 2MMTQCBG

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/2MMTQCBGGOFZAEBSPIUJQFQTQZ \
  | 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: d319380826338b9010327a28981613864ae3ad4d14cd51cd4369f51cfd485afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61880ee11e2ed89a5ad0ddbd2ce848d8c6e90e326e0ca79e5e5f7f07947b7867",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-13T19:02:03Z",
    "title_canon_sha256": "3dc113d8a10cf884736d88668ce748635454b6128c1744016bad9357e5f652d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2633",
    "kind": "arxiv",
    "version": 3
  }
}