Pith Number

pith:OZ4KBOVC

pith:2015:OZ4KBOVCDESNT753SLZJI37HXV

not attested not anchored not stored refs pending

Combinatorial topology of the standard chromatic subdivision and Weak Symmetry Breaking for 6 processes

D.N. Kozlov

arxiv:1506.03944 v2 · 2015-06-12 · cs.DC · 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{OZ4KBOVCDESNT753SLZJI37HXV}

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	2026-05-18T01:16:21.746431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7678a0baa21924d9ffbb92f2946fe7bd708cdc23ac1c6d06cf2cb89c2a2f5817

Aliases

arxiv: 1506.03944 · arxiv_version: 1506.03944v2 · doi: 10.48550/arxiv.1506.03944 · pith_short_12: OZ4KBOVCDESN · pith_short_16: OZ4KBOVCDESNT753 · pith_short_8: OZ4KBOVC

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/OZ4KBOVCDESNT753SLZJI37HXV \
  | 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: 7678a0baa21924d9ffbb92f2946fe7bd708cdc23ac1c6d06cf2cb89c2a2f5817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8fa2edce7b03329dba20fc9b93b5903b8a1ffc30ea4655d364ce0652ac6dd0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2015-06-12T09:05:36Z",
    "title_canon_sha256": "075c9f0fb96171edaf8c3dd3d70516d21d1a899b6eab1292183257ca38cfcd57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03944",
    "kind": "arxiv",
    "version": 2
  }
}