Pith Number

pith:3TPUHVBB

pith:2022:3TPUHVBBXIOTME7DXS2OSS4DFU

not attested not anchored not stored refs pending

Scales

Mathieu Helfter

arxiv:2206.05231 v3 · 2022-06-10 · 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{3TPUHVBBXIOTME7DXS2OSS4DFU}

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.

Cited by

1 paper in Pith

Besicovitch covering numbers for $\mathcal B$-free and other shifts

Receipt and verification

First computed	2026-07-05T10:11:55.039210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcdf43d421ba1d3613e3bcb4e94b832d383d878d95e8c27262a3923332364401

Aliases

arxiv: 2206.05231 · arxiv_version: 2206.05231v3 · doi: 10.48550/arxiv.2206.05231 · pith_short_12: 3TPUHVBBXIOT · pith_short_16: 3TPUHVBBXIOTME7D · pith_short_8: 3TPUHVBB

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/3TPUHVBBXIOTME7DXS2OSS4DFU \
  | 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: dcdf43d421ba1d3613e3bcb4e94b832d383d878d95e8c27262a3923332364401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6bb8e3e75b7cf2329ae1185aee4e16fabec55ac620de92bfa1149bbd7a3a3a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-06-10T17:08:10Z",
    "title_canon_sha256": "6c00c076acc9c2f4b6a0c6403e07c7eb8ca220a10b4750c239cd013f24a8778c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.05231",
    "kind": "arxiv",
    "version": 3
  }
}