Pith Number

pith:64GBOOLV

pith:2013:64GBOOLVM4P7DVSK4JDSGWEYHY

not attested not anchored not stored refs pending

Three solutions to discrete anisotropic problems with two parameters

Marek Galewski, Piotr Kowalski

arxiv:1306.1638 v1 · 2013-06-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64GBOOLVM4P7DVSK4JDSGWEYHY}

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	2026-05-18T03:21:32.859234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f70c173975671ff1d64ae2472358983e2deeb35089bfb09f07fbd2e4a6315713

Aliases

arxiv: 1306.1638 · arxiv_version: 1306.1638v1 · doi: 10.48550/arxiv.1306.1638 · pith_short_12: 64GBOOLVM4P7 · pith_short_16: 64GBOOLVM4P7DVSK · pith_short_8: 64GBOOLV

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/64GBOOLVM4P7DVSK4JDSGWEYHY \
  | 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: f70c173975671ff1d64ae2472358983e2deeb35089bfb09f07fbd2e4a6315713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80458470d09e24cc3f38d73eae685d0da2f145e80ca333f29339527ea6e1139e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-07T07:27:51Z",
    "title_canon_sha256": "686a5f114383f588e567921e86f242af12b76a688a54709510a804ad3bee5c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1638",
    "kind": "arxiv",
    "version": 1
  }
}