Pith Number

pith:P2XYED6Z

pith:2023:P2XYED6ZQOMC5NRXBUP4KSGIF6

not attested not anchored not stored refs pending

A new result similar to the Graham-Pollak theorem

Zhi-Wei Sun

arxiv:2303.12629 v3 · 2023-03-22 · 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{P2XYED6ZQOMC5NRXBUP4KSGIF6}

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	2026-07-05T05:58:20.222809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eaf820fd983982eb6370d1fc548c82fa3e094b6e51ef8cfc55275a4759d7860

Aliases

arxiv: 2303.12629 · arxiv_version: 2303.12629v3 · doi: 10.48550/arxiv.2303.12629 · pith_short_12: P2XYED6ZQOMC · pith_short_16: P2XYED6ZQOMC5NRX · pith_short_8: P2XYED6Z

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/P2XYED6ZQOMC5NRXBUP4KSGIF6 \
  | 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: 7eaf820fd983982eb6370d1fc548c82fa3e094b6e51ef8cfc55275a4759d7860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c033caefb98ce9ff40df405fea36b51913c53f7585a8c0d1f9e2a199086990",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-22T15:10:26Z",
    "title_canon_sha256": "f801e2ee10f82156178979d335b614716d7aacb13928ba8ea87c58969fc4d6e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.12629",
    "kind": "arxiv",
    "version": 3
  }
}