Pith Number

pith:R56X5UQM

pith:2014:R56X5UQMV6SDNCUOJK7G6POOE3

not attested not anchored not stored refs pending

The completion of optimal $(3,4)$-packings

Jingjun Bao, Lijun Ji

arxiv:1401.2022 v1 · 2014-01-09 · 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{R56X5UQMV6SDNCUOJK7G6POOE3}

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	2026-05-18T03:02:47.748069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f7d7ed20cafa4368a8e4abe6f3dce26d21a4775967a8de183599b8b7b7f2fa0

Aliases

arxiv: 1401.2022 · arxiv_version: 1401.2022v1 · doi: 10.48550/arxiv.1401.2022 · pith_short_12: R56X5UQMV6SD · pith_short_16: R56X5UQMV6SDNCUO · pith_short_8: R56X5UQM

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/R56X5UQMV6SDNCUOJK7G6POOE3 \
  | 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: 8f7d7ed20cafa4368a8e4abe6f3dce26d21a4775967a8de183599b8b7b7f2fa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75f7349774c2fe4b4b533aeafa64b97bb003eeab98c6ed6b41d795f4dfaead87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-09T14:56:14Z",
    "title_canon_sha256": "41bb3e58273d0eb6d36b69c530afc486bafc913b28a093beca11ca0c5ae80229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2022",
    "kind": "arxiv",
    "version": 1
  }
}