Pith Number

pith:JYEZFNFS

pith:2015:JYEZFNFSSCK7SVL4EZ7BUJ4JXW

not attested not anchored not stored refs pending

New Lower Bounds for the Shannon Capacity of Odd Cycles

K. Ashik Mathew, Patric R. J. \"Osterg{\aa}rd

arxiv:1504.01472 v1 · 2015-04-07 · cs.IT · math.CO · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JYEZFNFSSCK7SVL4EZ7BUJ4JXW}

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	2026-05-18T02:19:27.034417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e0992b4b29095f9557c267e1a2789bd9fb0e5b885a232dc450427868a46c381

Aliases

arxiv: 1504.01472 · arxiv_version: 1504.01472v1 · doi: 10.48550/arxiv.1504.01472 · pith_short_12: JYEZFNFSSCK7 · pith_short_16: JYEZFNFSSCK7SVL4 · pith_short_8: JYEZFNFS

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/JYEZFNFSSCK7SVL4EZ7BUJ4JXW \
  | 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: 4e0992b4b29095f9557c267e1a2789bd9fb0e5b885a232dc450427868a46c381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac51d47690a3bd11cf8ca52905039be41a1d46922f504a2603b9a9cb53c9e483",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-04-07T05:12:43Z",
    "title_canon_sha256": "b9eac404468d68b6b7930870d55108deb61fcfea95dadbf170a6bfba436e050c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01472",
    "kind": "arxiv",
    "version": 1
  }
}