Pith Number

pith:RAU6XEXL

pith:2022:RAU6XEXLUPG7VUGQEU44243J3X

not attested not anchored not stored refs pending

The degree-distance and transmission-adjacency matrices

Carlos A. Alfaro, Octavio Zapata

arxiv:2212.05297 v1 · 2022-12-10 · 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{RAU6XEXLUPG7VUGQEU44243J3X}

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	2026-07-05T05:24:02.431559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8829eb92eba3cdfad0d02539cd7369dde168b06c2953e37bed4f0206306b1ad5

Aliases

arxiv: 2212.05297 · arxiv_version: 2212.05297v1 · doi: 10.48550/arxiv.2212.05297 · pith_short_12: RAU6XEXLUPG7 · pith_short_16: RAU6XEXLUPG7VUGQ · pith_short_8: RAU6XEXL

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/RAU6XEXLUPG7VUGQEU44243J3X \
  | 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: 8829eb92eba3cdfad0d02539cd7369dde168b06c2953e37bed4f0206306b1ad5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6d3e5fc99ff79dd6d459c33c483c86611105bd4ea81d8048787d7190b04d65e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-10T13:27:17Z",
    "title_canon_sha256": "379b5fdec47f2b9f85dafdbe0cb1aeaaf44081d684ed2c249a5a29e549d57a0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.05297",
    "kind": "arxiv",
    "version": 1
  }
}