Pith Number

pith:TO2HZPD4

pith:2010:TO2HZPD4UFNZZKDVCJTNPJLLGG

not attested not anchored not stored refs pending

What an infra-nilmanifold endomorphism really should be

Karel Dekimpe

arxiv:1008.4500 v2 · 2010-08-26 · math.DS · 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{TO2HZPD4UFNZZKDVCJTNPJLLGG}

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	2026-05-18T04:20:23.312408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb47cbc7ca15b9ca8751266d7a56b319d6f0de5f535d756cfb7301c4038488d

Aliases

arxiv: 1008.4500 · arxiv_version: 1008.4500v2 · doi: 10.48550/arxiv.1008.4500 · pith_short_12: TO2HZPD4UFNZ · pith_short_16: TO2HZPD4UFNZZKDV · pith_short_8: TO2HZPD4

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/TO2HZPD4UFNZZKDVCJTNPJLLGG \
  | 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: 9bb47cbc7ca15b9ca8751266d7a56b319d6f0de5f535d756cfb7301c4038488d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1533bc778087986787264cee8bc4168e04e85ebac0a3d8d297a7e4ec09413eeb",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-08-26T13:10:19Z",
    "title_canon_sha256": "966f95af75d8f494fa5bce3af984648c16c688a6158f34739f14bfee9f474293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4500",
    "kind": "arxiv",
    "version": 2
  }
}