Pith Number

pith:WMQRU3FJ

pith:2025:WMQRU3FJCDRYF6AKPFKU6ACJ2J

not attested not anchored not stored refs pending

Lower bounds for the reach and applications

Daniel Platt, Ra\'ul S\'anchez Gal\'an

arxiv:2505.08427 v1 · 2025-05-13 · math.NA · cs.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{WMQRU3FJCDRYF6AKPFKU6ACJ2J}

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	2026-07-05T11:02:30.384030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3211a6ca910e382f80a79554f0049d272551b7b3342e8555d8926c572fd7723

Aliases

arxiv: 2505.08427 · arxiv_version: 2505.08427v1 · doi: 10.48550/arxiv.2505.08427 · pith_short_12: WMQRU3FJCDRY · pith_short_16: WMQRU3FJCDRYF6AK · pith_short_8: WMQRU3FJ

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/WMQRU3FJCDRYF6AKPFKU6ACJ2J \
  | 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: b3211a6ca910e382f80a79554f0049d272551b7b3342e8555d8926c572fd7723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "249fc7c4820621f82069daf7bc69fb2880dde3f954246a23c73a8410b92573bc",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-05-13T10:45:39Z",
    "title_canon_sha256": "b4ee4609190bba0653057bab707d99a12dad733858fbce41b9387dfbf717391e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.08427",
    "kind": "arxiv",
    "version": 1
  }
}