pith. sign in
Pith Number

pith:SAET4QAB

pith:2013:SAET4QABVCTSVKATG4SASNXX2T
not attested not anchored not stored refs pending

Beyond the Shannon's Bound

Arkadiusz Soca{\l}a, {\L}ukasz Kowalik, Micha{\l} Farnik

arxiv:1309.6069 v1 · 2013-09-24 · cs.DS · cs.DM · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SAET4QABVCTSVKATG4SASNXX2T}

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 2026-05-18T03:12:24.122072Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

90093e4001a8a72aa81337240936f7d4e949324bbe8f18a153973a7411bb3788

Aliases

arxiv: 1309.6069 · arxiv_version: 1309.6069v1 · doi: 10.48550/arxiv.1309.6069 · pith_short_12: SAET4QABVCTS · pith_short_16: SAET4QABVCTSVKAT · pith_short_8: SAET4QAB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SAET4QABVCTSVKATG4SASNXX2T \
  | 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: 90093e4001a8a72aa81337240936f7d4e949324bbe8f18a153973a7411bb3788
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "22414df5fe84ab976e9e028973ec1a93563d3555ebf50b0e6ba882748d4d0ccd",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-09-24T07:51:56Z",
    "title_canon_sha256": "683032992ae4f10270d1aeb31d774e8d92897910efe9c90fa5122c3ac007be0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6069",
    "kind": "arxiv",
    "version": 1
  }
}