Pith Number

pith:WOL664Z2

pith:2015:WOL664Z2NRI2X453X5TZMP2GYL

not attested not anchored not stored refs pending

2-Swappability and the Edge-Reconstruction Number of Regular Graphs

Michael S. Ross

arxiv:1503.01048 v1 · 2015-03-03 · 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{WOL664Z2NRI2X453X5TZMP2GYL}

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	2026-05-18T02:25:47.827802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b397ef733a6c51abf3bbbf67963f46c2e9128955def9cd05123190eea9b95bef

Aliases

arxiv: 1503.01048 · arxiv_version: 1503.01048v1 · doi: 10.48550/arxiv.1503.01048 · pith_short_12: WOL664Z2NRI2 · pith_short_16: WOL664Z2NRI2X453 · pith_short_8: WOL664Z2

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/WOL664Z2NRI2X453X5TZMP2GYL \
  | 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: b397ef733a6c51abf3bbbf67963f46c2e9128955def9cd05123190eea9b95bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02217e555fc059dee1d68431abdccff0ec0900db5cd87c8615e3d10573439887",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-03T18:43:34Z",
    "title_canon_sha256": "701aa0e9aef77978f0eec4e5f4c582898bc7ba93dfc061c04d19fe63c6c621a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01048",
    "kind": "arxiv",
    "version": 1
  }
}