Pith Number

pith:7EDN7NAG

pith:2015:7EDN7NAGXDLKBF2ZEJR272KYQE

not attested not anchored not stored refs pending

Natural Boundary for a Sum Involving Toeplitz Determinants

Craig A. Tracy, Harold Widom

arxiv:1502.04922 v1 · 2015-02-16 · math-ph · cond-mat.stat-mech · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EDN7NAGXDLKBF2ZEJR272KYQE}

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	2026-05-18T00:45:35.362072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f906dfb406b8d6a097592263afe958812ec828c98189adda335e9fe88e889fc9

Aliases

arxiv: 1502.04922 · arxiv_version: 1502.04922v1 · doi: 10.48550/arxiv.1502.04922 · pith_short_12: 7EDN7NAGXDLK · pith_short_16: 7EDN7NAGXDLKBF2Z · pith_short_8: 7EDN7NAG

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/7EDN7NAGXDLKBF2ZEJR272KYQE \
  | 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: f906dfb406b8d6a097592263afe958812ec828c98189adda335e9fe88e889fc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ab9930202cedf074c7e6c46f49b5d4aff0b405a12baac21c6c011f5ab4548ea",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-16T20:38:05Z",
    "title_canon_sha256": "abf71198b2c40966248520ef3ebd44476b48f7d506cd860a149b164b364db3ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04922",
    "kind": "arxiv",
    "version": 1
  }
}