Pith Number

pith:4DFPP6DL

pith:2026:4DFPP6DLAMFGNUK76JQ5VO6GGR

not attested not anchored not stored refs pending

On Realizing Reconfiguration Graphs of Cliques

Duc A. Hoang

arxiv:2604.03567 v2 · 2026-04-04 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DFPP6DLAMFGNUK76JQ5VO6GGR}

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	2026-06-02T02:04:17.070085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0caf7f86b030a66d15ff261dabbc6347f8e378be496b08201eda4bb9e0ddb90

Aliases

arxiv: 2604.03567 · arxiv_version: 2604.03567v2 · doi: 10.48550/arxiv.2604.03567 · pith_short_12: 4DFPP6DLAMFG · pith_short_16: 4DFPP6DLAMFGNUK7 · pith_short_8: 4DFPP6DL

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/4DFPP6DLAMFGNUK76JQ5VO6GGR \
  | 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: e0caf7f86b030a66d15ff261dabbc6347f8e378be496b08201eda4bb9e0ddb90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c604e58eb6e09d72d174b2b749256a0acc489c68ab0c46f9aceaac9b5a946c4c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-04-04T03:23:18Z",
    "title_canon_sha256": "c379bccdc909feeb18d1e7ffb812aac98fac9c716200e450fcdb8a60d6b2fb7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.03567",
    "kind": "arxiv",
    "version": 2
  }
}