Pith Number

pith:3EMKWUGN

pith:2020:3EMKWUGNLDEIRBPI6UGDR7R4MB

not attested not anchored not stored refs pending

Graph structure via local occupancy

Ewan Davies, Fran\c{c}ois Pirot, Jean-S\'ebastien Sereni, Ross J. Kang

arxiv:2003.14361 v1 · 2020-03-31 · 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{3EMKWUGNLDEIRBPI6UGDR7R4MB}

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.

Cited by

8 papers in Pith

The independence number of uncrowded hypergraphs: bounds matching the shattering threshold

Coloring, List Coloring, and Painting Squares of Graphs (and other related problems)

Fractional coloring via entropy

Hypergraph independence bounds: from maximum degree to average degree

Receipt and verification

First computed	2026-07-05T00:51:49.757090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d918ab50cd58c88885e8f50c38fe3c60426a2ba6e335fe0677d58380f119a1c2

Aliases

arxiv: 2003.14361 · arxiv_version: 2003.14361v1 · doi: 10.48550/arxiv.2003.14361 · pith_short_12: 3EMKWUGNLDEI · pith_short_16: 3EMKWUGNLDEIRBPI · pith_short_8: 3EMKWUGN

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/3EMKWUGNLDEIRBPI6UGDR7R4MB \
  | 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: d918ab50cd58c88885e8f50c38fe3c60426a2ba6e335fe0677d58380f119a1c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e1a3bb2047db91200bd74b2452d37ca9336712524b9ebd0461544972cfdc26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-03-31T16:42:57Z",
    "title_canon_sha256": "0c61103e10efa514df92979879dd3a79ecc62741eb47db5577f6eeb7d2a9f2f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.14361",
    "kind": "arxiv",
    "version": 1
  }
}