Pith Number

pith:XHC3EYD6

pith:2019:XHC3EYD6673AMS7RFRXVTUBFK7

not attested not anchored not stored refs pending

Generalization of P\'olya's zero distribution theory for exponential polynomials, plus sharp results for asymptotic growth

Janne Heittokangas, Zhi-Tao Wen

arxiv:1905.08919 v2 · 2019-05-22 · 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{XHC3EYD6673AMS7RFRXVTUBFK7}

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	2026-05-17T23:43:08.824060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9c5b2607ef7f6064bf12c6f59d02557f98dcfa53a22d4f0fc377b561d6d46e2

Aliases

arxiv: 1905.08919 · arxiv_version: 1905.08919v2 · doi: 10.48550/arxiv.1905.08919 · pith_short_12: XHC3EYD6673A · pith_short_16: XHC3EYD6673AMS7R · pith_short_8: XHC3EYD6

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/XHC3EYD6673AMS7RFRXVTUBFK7 \
  | 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: b9c5b2607ef7f6064bf12c6f59d02557f98dcfa53a22d4f0fc377b561d6d46e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c966f1360f28a201da9738c030985bbaa5d9f80b63747bea9bcbcabeb21b53e5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-05-22T01:58:32Z",
    "title_canon_sha256": "56f3ab17f836a76d159d473d34b23603981fb6b213eadb2c737158affe762114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08919",
    "kind": "arxiv",
    "version": 2
  }
}