Pith Number

pith:LKQFFEQP

pith:2017:LKQFFEQPJIOSP3EVB6VFMTSCDL

not attested not anchored not stored refs pending

Exact Methods for Recursive Circle Packing

Ambros Gleixner, Benjamin M\"uller, Jo\~ao Pedro Pedroso, Stephen Maher

arxiv:1702.07799 v2 · 2017-02-24 · math.OC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKQFFEQPJIOSP3EVB6VFMTSCDL}

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	2026-05-17T23:56:58.880988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa052920f4a1d27ec950faa564e421af675d09c5ea361e2cc2462c871fb9e5c

Aliases

arxiv: 1702.07799 · arxiv_version: 1702.07799v2 · doi: 10.48550/arxiv.1702.07799 · pith_short_12: LKQFFEQPJIOS · pith_short_16: LKQFFEQPJIOSP3EV · pith_short_8: LKQFFEQP

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/LKQFFEQPJIOSP3EVB6VFMTSCDL \
  | 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: 5aa052920f4a1d27ec950faa564e421af675d09c5ea361e2cc2462c871fb9e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efba1dd57f720c86827382410ad23aedeef11c4e46acb46d3ac1c2d178844c9d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-02-24T23:23:51Z",
    "title_canon_sha256": "ce4313ad92226f91f487bc8b05265cbd89c5b7dc2e8c1529e5c9dc03356b7fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07799",
    "kind": "arxiv",
    "version": 2
  }
}