Pith Number

pith:55R2VRJ7

pith:2016:55R2VRJ7WNQOAUXEDRJFVODHWI

not attested not anchored not stored refs pending

Quadrangular embeddings of complete graphs and the Even Map Color Theorem (with details)

Beifang Chen, Dong Ye, Hui Yang, M. N. Ellingham, Nora Hartsfield, Serge Lawrencenko, Wenzhong Liu, Xiaoya Zha

arxiv:1606.00948 v3 · 2016-06-03 · 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{55R2VRJ7WNQOAUXEDRJFVODHWI}

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	2026-07-05T02:59:50.882954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef63aac53fb360e052e41c525ab867b20ec2a20110455835024606601daad0c6

Aliases

arxiv: 1606.00948 · arxiv_version: 1606.00948v3 · doi: 10.48550/arxiv.1606.00948 · pith_short_12: 55R2VRJ7WNQO · pith_short_16: 55R2VRJ7WNQOAUXE · pith_short_8: 55R2VRJ7

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/55R2VRJ7WNQOAUXEDRJFVODHWI \
  | 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: ef63aac53fb360e052e41c525ab867b20ec2a20110455835024606601daad0c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ab96573c27398989b885f4f2ae9972884e6d95436e3de60997d1cd42550c505",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-03T02:06:53Z",
    "title_canon_sha256": "502138f759d652b9f3f979d5d066d755bfb7c11ba15220d1a47f2cab2ec18635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00948",
    "kind": "arxiv",
    "version": 3
  }
}