Pith Number

pith:3L2GTP36

pith:2012:3L2GTP36LE4NA6S7XH3BBHCI6R

not attested not anchored not stored refs pending

Circle discrepancy for checkerboard measures

Ioannis Parissis, Mihail N. Kolountzakis

arxiv:1201.5544 v2 · 2012-01-26 · math.CA · 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{3L2GTP36LE4NA6S7XH3BBHCI6R}

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	2026-05-18T01:34:36.176847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daf469bf7e5938d07a5fb9f6109c48f46f51c1c8e7c57dd49a9e40a740c32ad6

Aliases

arxiv: 1201.5544 · arxiv_version: 1201.5544v2 · doi: 10.48550/arxiv.1201.5544 · pith_short_12: 3L2GTP36LE4N · pith_short_16: 3L2GTP36LE4NA6S7 · pith_short_8: 3L2GTP36

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/3L2GTP36LE4NA6S7XH3BBHCI6R \
  | 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: daf469bf7e5938d07a5fb9f6109c48f46f51c1c8e7c57dd49a9e40a740c32ad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a844b0be8c92d4038ad5b626a025d10043ac2c64df5313b53f9385de567e5ca0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-26T14:54:05Z",
    "title_canon_sha256": "79e85baee18fbafd5bc6a66089ba97a1d0d1bc2da7a279785bc247f77580e15a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5544",
    "kind": "arxiv",
    "version": 2
  }
}