Pith Number

pith:YGMEQ2MI

pith:2018:YGMEQ2MIPRJEYQKECLV6QBG4AA

not attested not anchored not stored refs pending

On the degree pairs of a graph

Chia-an Liu, Chih-wen Weng, Yu-Pei Huang

arxiv:1811.02747 v1 · 2018-11-07 · 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{YGMEQ2MIPRJEYQKECLV6QBG4AA}

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	2026-05-18T00:01:20.890451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1984869887c524c414412ebe804dc000fa3a04a50b8fa4aeb8c9726efaee055

Aliases

arxiv: 1811.02747 · arxiv_version: 1811.02747v1 · doi: 10.48550/arxiv.1811.02747 · pith_short_12: YGMEQ2MIPRJE · pith_short_16: YGMEQ2MIPRJEYQKE · pith_short_8: YGMEQ2MI

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/YGMEQ2MIPRJEYQKECLV6QBG4AA \
  | 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: c1984869887c524c414412ebe804dc000fa3a04a50b8fa4aeb8c9726efaee055

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a3ddd8a722de0ce6c14b12019fd76d6a4190a59d8691e4e47c0c4e252809d65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-07T03:49:30Z",
    "title_canon_sha256": "bc84dad51a661f505bdd2f970474cdc3178f90f937c91a70ec5d6d7885b4be40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02747",
    "kind": "arxiv",
    "version": 1
  }
}