Pith Number

pith:M4XDQJAW

pith:2016:M4XDQJAWZYF3GSGQAYCJIZR7N3

not attested not anchored not stored refs pending

On two extensions of equimatchable graphs

Martin Milani\v{c}, Mordechai Shalom, Tatiana Romina Hartinger, T{\i}naz Ekim, Zakir Deniz

arxiv:1612.08531 v1 · 2016-12-27 · 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{M4XDQJAWZYF3GSGQAYCJIZR7N3}

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	2026-05-18T00:53:52.763089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

672e382416ce0bb348d0060494663f6edc6dd30fa568b838e151c0ae5e0ee4f7

Aliases

arxiv: 1612.08531 · arxiv_version: 1612.08531v1 · doi: 10.48550/arxiv.1612.08531 · pith_short_12: M4XDQJAWZYF3 · pith_short_16: M4XDQJAWZYF3GSGQ · pith_short_8: M4XDQJAW

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/M4XDQJAWZYF3GSGQAYCJIZR7N3 \
  | 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: 672e382416ce0bb348d0060494663f6edc6dd30fa568b838e151c0ae5e0ee4f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aaef22e4fc54b8cb89c3d81c0284f4aa682759a2e9ad13be8714ac14534b82e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-27T08:26:38Z",
    "title_canon_sha256": "1c05796a68c7b4d235ca63f54fef8de0d972cd5e582663904bed7e61b38a4264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08531",
    "kind": "arxiv",
    "version": 1
  }
}