Pith Number

pith:3ZVHCDCN

pith:2018:3ZVHCDCN37GG5V63ZYDCHSFQ4R

not attested not anchored not stored refs pending

A Simple Characterization of Proportionally 2-choosable Graphs

Benjamin Reiniger, Hemanshu Kaul, Jeffrey A. Mudrock, Michael J. Pelsmajer

arxiv:1806.11265 v1 · 2018-06-29 · 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{3ZVHCDCN37GG5V63ZYDCHSFQ4R}

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	2026-05-18T00:12:03.065548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de6a710c4ddfcc6ed7dbce0623c8b0e47ba0ac36ea53fe674911d7b99af42a26

Aliases

arxiv: 1806.11265 · arxiv_version: 1806.11265v1 · doi: 10.48550/arxiv.1806.11265 · pith_short_12: 3ZVHCDCN37GG · pith_short_16: 3ZVHCDCN37GG5V63 · pith_short_8: 3ZVHCDCN

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/3ZVHCDCN37GG5V63ZYDCHSFQ4R \
  | 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: de6a710c4ddfcc6ed7dbce0623c8b0e47ba0ac36ea53fe674911d7b99af42a26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6775d68b98b0d35ae1d28c6bc97c560307a515ee7945293e00137b1ff6d1f50f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-29T04:39:50Z",
    "title_canon_sha256": "e8a8df4532b5e6417124a72df4c57bec461ea3bf0b634ef0858dd40316032788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11265",
    "kind": "arxiv",
    "version": 1
  }
}