Pith Number

pith:SS5UOQF6

pith:2013:SS5UOQF6HEMFZW5SCEEXIRBJIX

not attested not anchored not stored refs pending

Application of Vertex coloring in a particular triangular closed path structure and in Krafts inequality

B.B.Ghosh, Paritosh Bhattacharya, Sabyasachi Mukhopadhyay

arxiv:1309.3513 v1 · 2013-08-22 · cs.DM · 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{SS5UOQF6HEMFZW5SCEEXIRBJIX}

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	2026-05-18T03:13:22.382399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94bb4740be39185cdbb2110974442945c6d00f702270fb4b3404da5c63d19762

Aliases

arxiv: 1309.3513 · arxiv_version: 1309.3513v1 · doi: 10.48550/arxiv.1309.3513 · pith_short_12: SS5UOQF6HEMF · pith_short_16: SS5UOQF6HEMFZW5S · pith_short_8: SS5UOQF6

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/SS5UOQF6HEMFZW5SCEEXIRBJIX \
  | 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: 94bb4740be39185cdbb2110974442945c6d00f702270fb4b3404da5c63d19762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8dc00077a4d0d6f083aa9eeb2670a2f4ac179cbf76c4986ca9f9eaaa4721c30",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-08-22T10:46:32Z",
    "title_canon_sha256": "a2fa255492deab44a47e7c12010b99c390a39817a1ba320dd4eb4a672dcbf6c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3513",
    "kind": "arxiv",
    "version": 1
  }
}