Pith Number

pith:4A33W2Y3

pith:2016:4A33W2Y3IHNRFGHBF7RYGJS45E

not attested not anchored not stored refs pending

Tight lower bounds on the matching number in a graph with given maximum degree

Anders Yeo, Michael A. Henning

arxiv:1604.05020 v1 · 2016-04-18 · 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{4A33W2Y3IHNRFGHBF7RYGJS45E}

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	2026-05-18T01:16:56.026027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e037bb6b1b41db1298e12fe383265ce91e430bbd5bbd90a819faea23bc35c3e2

Aliases

arxiv: 1604.05020 · arxiv_version: 1604.05020v1 · doi: 10.48550/arxiv.1604.05020 · pith_short_12: 4A33W2Y3IHNR · pith_short_16: 4A33W2Y3IHNRFGHB · pith_short_8: 4A33W2Y3

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/4A33W2Y3IHNRFGHBF7RYGJS45E \
  | 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: e037bb6b1b41db1298e12fe383265ce91e430bbd5bbd90a819faea23bc35c3e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5be9d9f9bd838ae8a9087a690a185f3319a3681acdb45f66382cc82bced890b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-18T07:37:27Z",
    "title_canon_sha256": "05a38159b19e8f76f7b4410e52025e7f87f5809860f23c1d1ade46f4f5bdcc8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05020",
    "kind": "arxiv",
    "version": 1
  }
}