Pith Number

pith:ENBU25RE

pith:2015:ENBU25REZXOLQ6JXCJTXKPK5WC

not attested not anchored not stored refs pending

On cycle-supermagic labelings of the disconnected graphs

Kashif Ali, Syed Tahir Raza Rizvi

arxiv:1506.06087 v1 · 2015-04-23 · 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{ENBU25REZXOLQ6JXCJTXKPK5WC}

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	2026-05-18T01:01:01.520881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23434d7624cddcb879371267753d5db092fbb35f80f4673bba97ebb1d5005d6c

Aliases

arxiv: 1506.06087 · arxiv_version: 1506.06087v1 · doi: 10.48550/arxiv.1506.06087 · pith_short_12: ENBU25REZXOL · pith_short_16: ENBU25REZXOLQ6JX · pith_short_8: ENBU25RE

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/ENBU25REZXOLQ6JXCJTXKPK5WC \
  | 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: 23434d7624cddcb879371267753d5db092fbb35f80f4673bba97ebb1d5005d6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc2f4dc755b77deb584fd34dc33d3323f9277ec3f28ae5b5e32f5ee3e816681",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-23T11:51:48Z",
    "title_canon_sha256": "d2689471e2c816d3ec18d1957e95de4c72cf0b73a5707dfc65ef1248874e89cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06087",
    "kind": "arxiv",
    "version": 1
  }
}