Pith Number

pith:Y4DKVBMS

pith:2015:Y4DKVBMSNBOFXD2CTFPOLJNS5S

not attested not anchored not stored refs pending

On zero-sum $\mathbb{Z}_{2j}^k$-magic graphs

D. Mauro, J. P. Georges, K. Wash

arxiv:1508.07485 v1 · 2015-08-29 · 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{Y4DKVBMSNBOFXD2CTFPOLJNS5S}

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	2026-05-18T01:34:32.162539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c706aa8592685c5b8f42995ee5a5b2ec9d09c7fb2657cdb97b3a4824872a9b17

Aliases

arxiv: 1508.07485 · arxiv_version: 1508.07485v1 · doi: 10.48550/arxiv.1508.07485 · pith_short_12: Y4DKVBMSNBOF · pith_short_16: Y4DKVBMSNBOFXD2C · pith_short_8: Y4DKVBMS

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/Y4DKVBMSNBOFXD2CTFPOLJNS5S \
  | 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: c706aa8592685c5b8f42995ee5a5b2ec9d09c7fb2657cdb97b3a4824872a9b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d01ea0056b9db5b9ec666404dda601aada428bcb63521e9a92b117c4e5628e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-29T17:47:35Z",
    "title_canon_sha256": "46a8d43af9a90878e5c4f49122271002a59d3b8d38fe33732422d7baf59e3f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07485",
    "kind": "arxiv",
    "version": 1
  }
}