Pith Number

pith:G54OD2JZ

pith:2025:G54OD2JZVGNG5UHMZPVGDENM32

not attested not anchored not stored refs pending

Circles and line segments as independence attractors of graphs

Garima Khetawat, Moumita Manna, Tarakanta Nayak

arxiv:2505.20898 v1 · 2025-05-27 · math.CO · 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{G54OD2JZVGNG5UHMZPVGDENM32}

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	2026-07-05T11:10:20.641783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3778e1e939a99a6ed0eccbea6191acde86f800d9a6510ef3b70068f39e1af71c

Aliases

arxiv: 2505.20898 · arxiv_version: 2505.20898v1 · doi: 10.48550/arxiv.2505.20898 · pith_short_12: G54OD2JZVGNG · pith_short_16: G54OD2JZVGNG5UHM · pith_short_8: G54OD2JZ

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/G54OD2JZVGNG5UHMZPVGDENM32 \
  | 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: 3778e1e939a99a6ed0eccbea6191acde86f800d9a6510ef3b70068f39e1af71c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1b5e6c48bdc0f196c406cbe9644ccdc6bf8cedf0bf5734fdd3de2a069f79d04",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-27T08:41:27Z",
    "title_canon_sha256": "d43a81a525f30cc7eac6001c307bcaa3b45a6bf9b15e4b4eb893553b072abf54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20898",
    "kind": "arxiv",
    "version": 1
  }
}