Pith Number

pith:DJVQATEL

pith:2013:DJVQATELBKF3SSHDDYZ3H72HBU

not attested not anchored not stored refs pending

Metric Diophantine approximation on the middle-third Cantor set

Arnaud Durand (LM-Orsay), Yann Bugeaud (IRMA)

arxiv:1305.6501 v1 · 2013-05-28 · math.NT · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJVQATELBKF3SSHDDYZ3H72HBU}

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	2026-05-18T03:24:40.591837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a6b004c8b0a8bb948e31e33b3ff470d2d32c1e0c9e4a1f7b80348a9be165af2

Aliases

arxiv: 1305.6501 · arxiv_version: 1305.6501v1 · doi: 10.48550/arxiv.1305.6501 · pith_short_12: DJVQATELBKF3 · pith_short_16: DJVQATELBKF3SSHD · pith_short_8: DJVQATEL

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/DJVQATELBKF3SSHDDYZ3H72HBU \
  | 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: 1a6b004c8b0a8bb948e31e33b3ff470d2d32c1e0c9e4a1f7b80348a9be165af2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aafab86277cf964f98dcacb122b08f7de3f03723142aa1ecc5004e425c698fea",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-28T14:09:29Z",
    "title_canon_sha256": "89dfd13a5ad7f28b2e00bb9e819c7c5da9f75dab0698e54a87315a0d70c5db1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6501",
    "kind": "arxiv",
    "version": 1
  }
}