Pith Number

pith:4Z4PGR65

pith:2016:4Z4PGR65NIRNUURXQHDPNKGZLV

not attested not anchored not stored refs pending

Fluctuations of the increment of the argument for the Gaussian entire function

Jeremiah Buckley, Mikhail Sodin

arxiv:1608.05590 v1 · 2016-08-19 · math.CV · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Z4PGR65NIRNUURXQHDPNKGZLV}

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	2026-05-18T00:39:02.320572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e678f347dd6a22da523781c6f6a8d95d6fb9710fb7807aeb28bf0317780e3f0f

Aliases

arxiv: 1608.05590 · arxiv_version: 1608.05590v1 · doi: 10.48550/arxiv.1608.05590 · pith_short_12: 4Z4PGR65NIRN · pith_short_16: 4Z4PGR65NIRNUURX · pith_short_8: 4Z4PGR65

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/4Z4PGR65NIRNUURXQHDPNKGZLV \
  | 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: e678f347dd6a22da523781c6f6a8d95d6fb9710fb7807aeb28bf0317780e3f0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ba2c7c8a45dce1091cab1b37dbe1c48632efcc362e0347820f52c16b0306df0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-08-19T12:57:05Z",
    "title_canon_sha256": "19f9346d7b9ae47ca7e2e306397b7281764ce0e1b07ff31f54eaa07bdef596b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05590",
    "kind": "arxiv",
    "version": 1
  }
}