Pith Number

pith:QQFJQMGS

pith:2017:QQFJQMGSZQMWRBV54UUDJLQMWM

not attested not anchored not stored refs pending

Online Circle and Sphere Packing

Carla Negri Lintzmayer, Eduardo Candido Xavier, Fl\'avio Keidi Miyazawa

arxiv:1708.08906 v1 · 2017-08-29 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQFJQMGSZQMWRBV54UUDJLQMWM}

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	2026-05-18T00:36:25.258512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840a9830d2cc196886bde52834ae0cb3398de2dcf1d41499b9be31df68d2b56b

Aliases

arxiv: 1708.08906 · arxiv_version: 1708.08906v1 · doi: 10.48550/arxiv.1708.08906 · pith_short_12: QQFJQMGSZQMW · pith_short_16: QQFJQMGSZQMWRBV5 · pith_short_8: QQFJQMGS

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/QQFJQMGSZQMWRBV54UUDJLQMWM \
  | 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: 840a9830d2cc196886bde52834ae0cb3398de2dcf1d41499b9be31df68d2b56b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "366b97924aef9f8905c666f13318253f22dbea4e4859eb26df422c8d087fbd52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-08-29T17:48:51Z",
    "title_canon_sha256": "87ba937fb7a96fbb6d58587f65bbc3a3e8f4b1c7fff028fc7949ffb5208e3049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08906",
    "kind": "arxiv",
    "version": 1
  }
}