Pith Number

pith:CYPM6KAG

pith:2013:CYPM6KAGEC7WTWK6YKE5XCG75I

not attested not anchored not stored refs pending

Refinement of the random coding bound

Aaron B. Wagner, Yucel Altug

arxiv:1312.6875 v1 · 2013-12-24 · cs.IT · 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{CYPM6KAGEC7WTWK6YKE5XCG75I}

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	2026-05-18T03:03:55.777312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

161ecf280620bf69d95ec289db88dfea052ed6e22183dfc371dfbb5af8cd2ab2

Aliases

arxiv: 1312.6875 · arxiv_version: 1312.6875v1 · doi: 10.48550/arxiv.1312.6875 · pith_short_12: CYPM6KAGEC7W · pith_short_16: CYPM6KAGEC7WTWK6 · pith_short_8: CYPM6KAG

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/CYPM6KAGEC7WTWK6YKE5XCG75I \
  | 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: 161ecf280620bf69d95ec289db88dfea052ed6e22183dfc371dfbb5af8cd2ab2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eabee682ec36ad50c43aa18f066c850effcf27767d02b74b65e474174a7f35a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-12-24T19:16:59Z",
    "title_canon_sha256": "b575c94a56d8f79572942b214d375d721587c2688d0afc20ae70f6d7a4f8d4f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6875",
    "kind": "arxiv",
    "version": 1
  }
}