Pith Number

pith:RZ53JB7Y

pith:2016:RZ53JB7YK3P3NAF2VOKQHS74KH

not attested not anchored not stored refs pending

Diophantine approximation on matrices and Lie groups

Emmanuel Breuillard, Lior Rosenzweig, Menny Aka, Nicolas de Saxc\'e

arxiv:1603.03800 v3 · 2016-03-11 · math.NT · math.DS · 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{RZ53JB7YK3P3NAF2VOKQHS74KH}

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	2026-05-18T00:29:05.932326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7bb487f856dfb680baab9503cbfc51e6f20c9e21a6cb2436dc1ee008f99a34

Aliases

arxiv: 1603.03800 · arxiv_version: 1603.03800v3 · doi: 10.48550/arxiv.1603.03800 · pith_short_12: RZ53JB7YK3P3 · pith_short_16: RZ53JB7YK3P3NAF2 · pith_short_8: RZ53JB7Y

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/RZ53JB7YK3P3NAF2VOKQHS74KH \
  | 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: 8e7bb487f856dfb680baab9503cbfc51e6f20c9e21a6cb2436dc1ee008f99a34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa82ebac6dbfb8a5cb015ec3b8e6937529128b45d166d33595f7846a6c1e7172",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-11T22:00:26Z",
    "title_canon_sha256": "9dd6c6a9efec3f9a53c922c0344d8b613ebddcb12d7009e522019027be37382e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03800",
    "kind": "arxiv",
    "version": 3
  }
}