Pith Number

pith:7SPL5CBL

pith:2015:7SPL5CBLTR4RY37QCE4CMDZ4YK

not attested not anchored not stored refs pending

Bishellable drawings of $K_n$

Bernardo M. \'Abrego, Birgit Vogtenhuber, Bojan Mohar, Dan McQuillan, Oswin Aichholzer, Pedro Ramos, Petra Mutzel, R. Bruce Richter, Silvia Fern\'andez-Merchant

arxiv:1510.00549 v3 · 2015-10-02 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SPL5CBLTR4RY37QCE4CMDZ4YK}

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	2026-05-18T00:10:52.460245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc9ebe882b9c791c6ff01138260f3cc2bb59abc2eb8fec65ca320b15aacc129c

Aliases

arxiv: 1510.00549 · arxiv_version: 1510.00549v3 · doi: 10.48550/arxiv.1510.00549 · pith_short_12: 7SPL5CBLTR4R · pith_short_16: 7SPL5CBLTR4RY37Q · pith_short_8: 7SPL5CBL

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/7SPL5CBLTR4RY37QCE4CMDZ4YK \
  | 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: fc9ebe882b9c791c6ff01138260f3cc2bb59abc2eb8fec65ca320b15aacc129c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2af543ef49f7a5d8ab6fd397ea0f39667bb09bc79b9f0696f2a6c420a65747d8",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-02T10:23:19Z",
    "title_canon_sha256": "60a45c0b7c688e79d66e34d0cafe210ca93c8ba9d29722b50f2d34f3267fc42f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00549",
    "kind": "arxiv",
    "version": 3
  }
}