Pith Number

pith:C5OV7K6W

pith:2014:C5OV7K6WQNOEUOLILEBOHB2JJT

not attested not anchored not stored refs pending

Generalized sphere-packing and sphere-covering bounds on the size of codes for combinatorial channels

Daniel Cullina, Negar Kiyavash

arxiv:1405.1464 v2 · 2014-05-06 · cs.IT · cs.DM · 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{C5OV7K6WQNOEUOLILEBOHB2JJT}

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	2026-05-18T01:53:09.421936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

175d5fabd6835c4a39685902e387494cdbd67cd0c8f639ea1a5646fe5f6c4ab7

Aliases

arxiv: 1405.1464 · arxiv_version: 1405.1464v2 · doi: 10.48550/arxiv.1405.1464 · pith_short_12: C5OV7K6WQNOE · pith_short_16: C5OV7K6WQNOEUOLI · pith_short_8: C5OV7K6W

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/C5OV7K6WQNOEUOLILEBOHB2JJT \
  | 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: 175d5fabd6835c4a39685902e387494cdbd67cd0c8f639ea1a5646fe5f6c4ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5125ac2ae4b5c6350f5b51246832b3fa4f37483df4dfa5e404054d464963d820",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-05-06T22:28:42Z",
    "title_canon_sha256": "bb1c4ec9a51e1157cc8439d463167452f9b7465ccec29793c55d0630afe6c379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1464",
    "kind": "arxiv",
    "version": 2
  }
}