Pith Number

pith:5OJNH5EI

pith:2016:5OJNH5EIX5RJGPROJK32FEPD7L

not attested not anchored not stored refs pending

Damped Arrow-Hurwicz algorithm for sphere packing

Marina A. Ferreira, Pierre Degond, S\'ebastien Motsch

arxiv:1605.05473 v1 · 2016-05-18 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OJNH5EIX5RJGPROJK32FEPD7L}

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	2026-05-18T00:53:26.076771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb92d3f488bf62933e2e4ab7a291e3faeaf6ac358e92ed7bc5acb863f8441000

Aliases

arxiv: 1605.05473 · arxiv_version: 1605.05473v1 · doi: 10.48550/arxiv.1605.05473 · pith_short_12: 5OJNH5EIX5RJ · pith_short_16: 5OJNH5EIX5RJGPRO · pith_short_8: 5OJNH5EI

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/5OJNH5EIX5RJGPROJK32FEPD7L \
  | 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: eb92d3f488bf62933e2e4ab7a291e3faeaf6ac358e92ed7bc5acb863f8441000

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d13e08c417bcd7f42122a915367fa38be0b2a5890dfd6f54c8010d67af996fd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-18T08:05:39Z",
    "title_canon_sha256": "78b4f0216391d474ce6b644632417bed302340c607c406037fc83fea147a13ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05473",
    "kind": "arxiv",
    "version": 1
  }
}