Pith Number

pith:WHYQADHD

pith:2007:WHYQADHDGUUPN2GH52PV34G3PW

not attested not anchored not stored refs pending

Densities in Fabry's theorem

Alexandre Eremenko

arxiv:0709.2360 v4 · 2007-09-14 · math.CV · 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{WHYQADHDGUUPN2GH52PV34G3PW}

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	2026-05-18T04:03:07.752540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1f1000ce33528f6e8c7ee9f5df0db7daca378e88003d9e3700263389db124b1

Aliases

arxiv: 0709.2360 · arxiv_version: 0709.2360v4 · doi: 10.48550/arxiv.0709.2360 · pith_short_12: WHYQADHDGUUP · pith_short_16: WHYQADHDGUUPN2GH · pith_short_8: WHYQADHD

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/WHYQADHDGUUPN2GH52PV34G3PW \
  | 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: b1f1000ce33528f6e8c7ee9f5df0db7daca378e88003d9e3700263389db124b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a6bf03310ddc99a8c04c30297757eeb3b78f9b3a08d4b2d8417287bded6fe44",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2007-09-14T18:44:09Z",
    "title_canon_sha256": "3ed9a9142b952b18fc97c06fb5752c0e9ffa951853b07cf69b96a60c640ad9c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2360",
    "kind": "arxiv",
    "version": 4
  }
}