Pith Number

pith:5HVZRM56

pith:2011:5HVZRM566JT675ICGDYHIX3YCG

not attested not anchored not stored refs pending

Heine, Hilbert, Pade, Riemann, and Stieltjes: a John Nuttall's work 25 years later

Andrei Martinez-Finkelshtein, Evgenii A. Rakhmanov, Sergey P. Suetin

arxiv:1111.6139 v1 · 2011-11-26 · 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{5HVZRM566JT675ICGDYHIX3YCG}

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	2026-05-18T04:07:31.732777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9eb98b3bef267eff50230f0745f78118b5ce81f7beb9f7da291ecde2c12499b

Aliases

arxiv: 1111.6139 · arxiv_version: 1111.6139v1 · doi: 10.48550/arxiv.1111.6139 · pith_short_12: 5HVZRM566JT6 · pith_short_16: 5HVZRM566JT675IC · pith_short_8: 5HVZRM56

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/5HVZRM566JT675ICGDYHIX3YCG \
  | 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: e9eb98b3bef267eff50230f0745f78118b5ce81f7beb9f7da291ecde2c12499b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5912220991394008df49bb4e8cfeb3377130e647e8d8f99088bfdd794b15fe8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-26T08:08:15Z",
    "title_canon_sha256": "e12f8caa461584254d9fa471f473a617b1490cd57ca3106755e927faa1c97188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6139",
    "kind": "arxiv",
    "version": 1
  }
}