Pith Number

pith:MU3773AX

pith:2014:MU3773AXUYIRZZYFVHKO2S2OGZ

not attested not anchored not stored refs pending

There is no analogue to Jarn\'ik's relation for twisted Diophantine approximmation

Antoine Marnat

arxiv:1409.6665 v3 · 2014-09-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MU3773AXUYIRZZYFVHKO2S2OGZ}

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	2026-05-18T00:40:42.053345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6537ffec17a6111ce705a9d4ed4b4e366ebf5757d17b6b32421c0a3f86d8f262

Aliases

arxiv: 1409.6665 · arxiv_version: 1409.6665v3 · doi: 10.48550/arxiv.1409.6665 · pith_short_12: MU3773AXUYIR · pith_short_16: MU3773AXUYIRZZYF · pith_short_8: MU3773AX

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/MU3773AXUYIRZZYFVHKO2S2OGZ \
  | 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: 6537ffec17a6111ce705a9d4ed4b4e366ebf5757d17b6b32421c0a3f86d8f262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "426ef2161c9314b7c75c8f1fb5949e60e0aa7204119df98905a6ab8f603d6759",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-23T16:52:24Z",
    "title_canon_sha256": "085f2d3f7043fce5f162506f8fb803465295fabd4cf07979225e0fd510d82709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6665",
    "kind": "arxiv",
    "version": 3
  }
}