Pith Number

pith:WXNEHQM3

pith:2019:WXNEHQM3F5N5PUR6OFYH4M7QBW

not attested not anchored not stored refs pending

The average size of matchings in graphs

Eric O. D. Andriantiana, Stephan Wagner, Valisoa Razanajatovo Misanantenaina

arxiv:1903.09825 v1 · 2019-03-23 · 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{WXNEHQM3F5N5PUR6OFYH4M7QBW}

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	2026-05-17T23:50:35.386711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5da43c19b2f5bd7d23e71707e33f00da490542baa8fc333f21c8830086e5d8e

Aliases

arxiv: 1903.09825 · arxiv_version: 1903.09825v1 · doi: 10.48550/arxiv.1903.09825 · pith_short_12: WXNEHQM3F5N5 · pith_short_16: WXNEHQM3F5N5PUR6 · pith_short_8: WXNEHQM3

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/WXNEHQM3F5N5PUR6OFYH4M7QBW \
  | 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: b5da43c19b2f5bd7d23e71707e33f00da490542baa8fc333f21c8830086e5d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79261174c2d98903665468a351d58ae4feb95e00140387f7040ad37cc66d0337",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-23T14:06:01Z",
    "title_canon_sha256": "d44d24799e7e01aee046ba91dc1b73899a4f9c3954655d534580a148e8502290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09825",
    "kind": "arxiv",
    "version": 1
  }
}