Pith Number

pith:DSUEMXB7

pith:2013:DSUEMXB743C3ZDT4MLIUGD5GOO

not attested not anchored not stored refs pending

Group distance magic and antimagic graphs

D. Froncek, K. Sugeng, Sanming Zhou, S. Cichacz

arxiv:1309.7454 v2 · 2013-09-28 · 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{DSUEMXB743C3ZDT4MLIUGD5GOO}

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	2026-05-18T01:03:24.410258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ca8465c3fe6c5bc8e7c62d1430fa673bca8d92c2537762c3c3919bd0c96eda4

Aliases

arxiv: 1309.7454 · arxiv_version: 1309.7454v2 · doi: 10.48550/arxiv.1309.7454 · pith_short_12: DSUEMXB743C3 · pith_short_16: DSUEMXB743C3ZDT4 · pith_short_8: DSUEMXB7

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/DSUEMXB743C3ZDT4MLIUGD5GOO \
  | 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: 1ca8465c3fe6c5bc8e7c62d1430fa673bca8d92c2537762c3c3919bd0c96eda4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ae53354029426d992911535a96e62d2ebf3fa1df77db6bd4c0cf66963c977b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-28T11:56:17Z",
    "title_canon_sha256": "2c11ac5a08f98cfecaab2f135eea77abc9b417666c6a7c85b48bb08f97cb6cc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7454",
    "kind": "arxiv",
    "version": 2
  }
}