Pith Number

pith:H32WALVC

pith:2016:H32WALVCZQ23QKNS7EVL3WC7MA

not attested not anchored not stored refs pending

A Note on $4$-colorings of Quadrangulations

Arthur Hoffmann-Ostenhof, Atsuhiro Nakamoto

arxiv:1605.04441 v1 · 2016-05-14 · 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{H32WALVCZQ23QKNS7EVL3WC7MA}

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	2026-05-18T01:14:47.195835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ef5602ea2cc35b829b2f92abdd85f602cec1327e9b301afd1b33f1d776d8d33

Aliases

arxiv: 1605.04441 · arxiv_version: 1605.04441v1 · doi: 10.48550/arxiv.1605.04441 · pith_short_12: H32WALVCZQ23 · pith_short_16: H32WALVCZQ23QKNS · pith_short_8: H32WALVC

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/H32WALVCZQ23QKNS7EVL3WC7MA \
  | 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: 3ef5602ea2cc35b829b2f92abdd85f602cec1327e9b301afd1b33f1d776d8d33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d255c6c1d4b7f3b01a50eb2558288e861b40934b033feb62497aa4e04c002df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-14T17:38:03Z",
    "title_canon_sha256": "f843aa93e109ca6afebc5e330a6cc74806adcd6ec8f11e5edac0fb2f447924a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04441",
    "kind": "arxiv",
    "version": 1
  }
}