Pith Number

pith:XWJXBTH3

pith:2015:XWJXBTH3QSNM6BRKG3QLBJJPMR

not attested not anchored not stored refs pending

Decomposing a Graph Into Expanding Subgraphs

Asaf Shapira, Guy Moshkovitz

arxiv:1502.00409 v1 · 2015-02-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWJXBTH3QSNM6BRKG3QLBJJPMR}

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	2026-05-18T02:28:06.040157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd9370ccfb849acf062a36e0b0a52f64724d2e5d1dca57da59cf73d3ce90e167

Aliases

arxiv: 1502.00409 · arxiv_version: 1502.00409v1 · doi: 10.48550/arxiv.1502.00409 · pith_short_12: XWJXBTH3QSNM · pith_short_16: XWJXBTH3QSNM6BRK · pith_short_8: XWJXBTH3

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/XWJXBTH3QSNM6BRKG3QLBJJPMR \
  | 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: bd9370ccfb849acf062a36e0b0a52f64724d2e5d1dca57da59cf73d3ce90e167

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d14acdb13ad0f65d84dd480d553128f22acee63baaa3d4a72f1f9f25e567664",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-02T09:06:03Z",
    "title_canon_sha256": "4fe4c91c57d3e7332f8632b97c32878fb9526bb3e8a7c1d27ab8cee719c21ebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00409",
    "kind": "arxiv",
    "version": 1
  }
}