Pith Number

pith:Q5BIDWM2

pith:2013:Q5BIDWM2C6YPERGQJN77OTZG25

not attested not anchored not stored refs pending

Existence of Anosov diffeomorphisms on infra-nilmanifolds modeled on free nilpotent Lie groups

Jonas Der\'e, Karel Dekimpe

arxiv:1304.6529 v2 · 2013-04-24 · 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{Q5BIDWM2C6YPERGQJN77OTZG25}

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	2026-05-18T02:52:04.240610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

874281d99a17b0f244d04b7ff74f26d76b3b4a1f6a7d94fbb78ba318db2b4a60

Aliases

arxiv: 1304.6529 · arxiv_version: 1304.6529v2 · doi: 10.48550/arxiv.1304.6529 · pith_short_12: Q5BIDWM2C6YP · pith_short_16: Q5BIDWM2C6YPERGQ · pith_short_8: Q5BIDWM2

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/Q5BIDWM2C6YPERGQJN77OTZG25 \
  | 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: 874281d99a17b0f244d04b7ff74f26d76b3b4a1f6a7d94fbb78ba318db2b4a60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d8606459ac6ef3958e38c06a5950ed57c4b1c360b959a0240fff69c6f553988",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-24T09:42:50Z",
    "title_canon_sha256": "aab85233bb7ea79d346d59f84d55dea5edb8fb322f095fbf240cc3d8bf086917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6529",
    "kind": "arxiv",
    "version": 2
  }
}