Pith Number

pith:XTDCNEHL

pith:2015:XTDCNEHLKPLG4QYEFSQWTOXAYH

not attested not anchored not stored refs pending

Landau's Theorem Revisited Again

K. B. Reid, M. Santana

arxiv:1509.04205 v1 · 2015-09-14 · 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{XTDCNEHLKPLG4QYEFSQWTOXAYH}

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	2026-05-18T01:33:08.070162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc62690eb53d66e43042ca169bae0c1cd03b00f7dbf35ec37d038e47b50825c

Aliases

arxiv: 1509.04205 · arxiv_version: 1509.04205v1 · doi: 10.48550/arxiv.1509.04205 · pith_short_12: XTDCNEHLKPLG · pith_short_16: XTDCNEHLKPLG4QYE · pith_short_8: XTDCNEHL

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/XTDCNEHLKPLG4QYEFSQWTOXAYH \
  | 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: bcc62690eb53d66e43042ca169bae0c1cd03b00f7dbf35ec37d038e47b50825c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42c53aabf9c0f7ee0d5cd8e94f19eb9e1372ce9033d6e9a0f6349725ecf5a5ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-14T17:07:24Z",
    "title_canon_sha256": "07b873e136403a7b4e168430cb89ae485b8958f31981eeb37c39c061cf19ab73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04205",
    "kind": "arxiv",
    "version": 1
  }
}