Pith Number

pith:DG4XRHAR

pith:2018:DG4XRHARVVDXODNRY63EXQTUS7

not attested not anchored not stored refs pending

Homomorphism bounds of signed bipartite $K_4$-minor-free graphs and edge-colorings of $2k$-regular $K_4$-minor-free multigraphs

Florent Foucaud, Laurent Beaudou, Reza Naserasr

arxiv:1811.03807 v2 · 2018-11-09 · 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{DG4XRHARVVDXODNRY63EXQTUS7}

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	2026-05-17T23:44:58.581476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b9789c11ad47770db1c7b64bc27497ff723ff1ea706f30ec75a5d07e0fbf7a

Aliases

arxiv: 1811.03807 · arxiv_version: 1811.03807v2 · doi: 10.48550/arxiv.1811.03807 · pith_short_12: DG4XRHARVVDX · pith_short_16: DG4XRHARVVDXODNR · pith_short_8: DG4XRHAR

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/DG4XRHARVVDXODNRY63EXQTUS7 \
  | 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: 19b9789c11ad47770db1c7b64bc27497ff723ff1ea706f30ec75a5d07e0fbf7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c05d1a1f9339d041fd911d6ddc742c7c792724729961533b9affc8ff474d8d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-09T07:58:10Z",
    "title_canon_sha256": "937b7acd1be0a0052be0502a7565a2dc34fa8f098ab9f57d968e254597eb28a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03807",
    "kind": "arxiv",
    "version": 2
  }
}