Pith Number

pith:QSN5Y5GI

pith:2013:QSN5Y5GIUHE7GAGJAYXOTLFFGX

not attested not anchored not stored refs pending

Weighted Paley-Wiener spaces and mountain chain axioms: a detailed exposition

Philippe Poulin

arxiv:1305.0184 v1 · 2013-05-01 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSN5Y5GIUHE7GAGJAYXOTLFFGX}

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	2026-05-18T03:26:41.747969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

849bdc74c8a1c9f300c9062ee9aca535d7d3f2067cc884ab63c8ab941173720a

Aliases

arxiv: 1305.0184 · arxiv_version: 1305.0184v1 · doi: 10.48550/arxiv.1305.0184 · pith_short_12: QSN5Y5GIUHE7 · pith_short_16: QSN5Y5GIUHE7GAGJ · pith_short_8: QSN5Y5GI

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/QSN5Y5GIUHE7GAGJAYXOTLFFGX \
  | 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: 849bdc74c8a1c9f300c9062ee9aca535d7d3f2067cc884ab63c8ab941173720a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4beab7d34cc219e2a09d084fe5923756d3536ae718d3c43b96e9d7032441ce1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-05-01T14:37:23Z",
    "title_canon_sha256": "580ec2c366d3d9c2ba506cfeed3bb005e24242f25331d982bfef90407bb6ac8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0184",
    "kind": "arxiv",
    "version": 1
  }
}