Pith Number

pith:X4T54IGD

pith:2026:X4T54IGDON7RGXAY5I4HAIGULZ

not attested not anchored not stored refs pending

Congruent copies of finite patterns in planar point sets

Ritesh Goenka, Shubhrajit Bhattacharya

arxiv:2606.27352 v1 · 2026-06-25 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4T54IGDON7RGXAY5I4HAIGULZ}

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	2026-06-26T01:16:19.587864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf27de20c3737f135c18ea387020d45e57cfa2c04436fba3b99d3c9ae0057829

Aliases

arxiv: 2606.27352 · arxiv_version: 2606.27352v1 · doi: 10.48550/arxiv.2606.27352 · pith_short_12: X4T54IGDON7R · pith_short_16: X4T54IGDON7RGXAY · pith_short_8: X4T54IGD

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/X4T54IGDON7RGXAY5I4HAIGULZ \
  | 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: bf27de20c3737f135c18ea387020d45e57cfa2c04436fba3b99d3c9ae0057829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d644badbf559c947ded291f4730eba64b54a1b5f6c42970e33291b863e9f84f6",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-25T17:56:01Z",
    "title_canon_sha256": "3c9667267733b461cea0795808e7a545a57b2d693e49ed7e5ed395f43888bfcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27352",
    "kind": "arxiv",
    "version": 1
  }
}