Pith Number

pith:3NF5DRBU

pith:2017:3NF5DRBUK3NAXTLIKSJZACG4AG

not attested not anchored not stored refs pending

An application of lattice points counting to shrinking target problems

Dmitry Kleinbock, Xi Zhao

arxiv:1701.04139 v2 · 2017-01-16 · 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{3NF5DRBUK3NAXTLIKSJZACG4AG}

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	2026-05-18T00:39:46.976646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db4bd1c43456da0bcd6854939008dc018ab8881ed854e78993f8ec38b81f2239

Aliases

arxiv: 1701.04139 · arxiv_version: 1701.04139v2 · doi: 10.48550/arxiv.1701.04139 · pith_short_12: 3NF5DRBUK3NA · pith_short_16: 3NF5DRBUK3NAXTLI · pith_short_8: 3NF5DRBU

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/3NF5DRBUK3NAXTLIKSJZACG4AG \
  | 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: db4bd1c43456da0bcd6854939008dc018ab8881ed854e78993f8ec38b81f2239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "998affe63687152fc87d950ca04142a790b4212978d1273258c29a5d21de16a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-16T01:48:21Z",
    "title_canon_sha256": "bf9d9104b2b1df58b721d879f9ddf5c5e4ee7208a0daeec0524e939f9ff10963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04139",
    "kind": "arxiv",
    "version": 2
  }
}