Pith Number

pith:QNJEEB5H

pith:2016:QNJEEB5H4VBM7PCBHRS3OQVZML

not attested not anchored not stored refs pending

Injective choosability of subcubic planar graphs with girth 6

Bernard Lidick\'y, Boris Brimkov, Jennifer Edmond, Kacy Messerschmidt, Robert Lazar, Shanise Walker

arxiv:1611.03454 v3 · 2016-11-10 · 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{QNJEEB5H4VBM7PCBHRS3OQVZML}

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	2026-05-18T00:40:40.879626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83524207a7e542cfbc413c65b742b962d32f36a63ab1653b7cb425b5968dcedf

Aliases

arxiv: 1611.03454 · arxiv_version: 1611.03454v3 · doi: 10.48550/arxiv.1611.03454 · pith_short_12: QNJEEB5H4VBM · pith_short_16: QNJEEB5H4VBM7PCB · pith_short_8: QNJEEB5H

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/QNJEEB5H4VBM7PCBHRS3OQVZML \
  | 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: 83524207a7e542cfbc413c65b742b962d32f36a63ab1653b7cb425b5968dcedf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c815676a5f9a647334bab0c585e2c3af28d22e0501c83eca3306f2ec2cd1966b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-10T19:19:42Z",
    "title_canon_sha256": "7a3aa04b9f1b8777c92a6651509cd9674b306c91e54658262b47652c0276d51c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03454",
    "kind": "arxiv",
    "version": 3
  }
}