Pith Number

pith:P3OZAP4S

pith:2016:P3OZAP4S4MKC4L35CINFFXQVO4

not attested not anchored not stored refs pending

Topologically $4$-chromatic graphs and signatures of odd cycles

Claude Tardif, David Wehlau, Gord Simons

arxiv:1601.07856 v2 · 2016-01-28 · 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{P3OZAP4S4MKC4L35CINFFXQVO4}

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	2026-05-18T01:20:06.235237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7edd903f92e3142e2f7d121a52de15771b7d296ae10a9e6f7fe2b55dec02f0e8

Aliases

arxiv: 1601.07856 · arxiv_version: 1601.07856v2 · doi: 10.48550/arxiv.1601.07856 · pith_short_12: P3OZAP4S4MKC · pith_short_16: P3OZAP4S4MKC4L35 · pith_short_8: P3OZAP4S

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/P3OZAP4S4MKC4L35CINFFXQVO4 \
  | 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: 7edd903f92e3142e2f7d121a52de15771b7d296ae10a9e6f7fe2b55dec02f0e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d50baa1558808b891a40bceccf498c68a23e2ce375a617a83ca1efc5915451f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-28T18:39:02Z",
    "title_canon_sha256": "4b7a743a87bf2a832aaae0bad5486d87716f75d9e2c432548841bd8ff284a950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07856",
    "kind": "arxiv",
    "version": 2
  }
}