Pith Number

pith:67JQ7ALX

pith:2016:67JQ7ALX2L342GO5J6WVYEHJ6Q

not attested not anchored not stored refs pending

Some Results in the Theory of Low-lying Zeros: Determining the 1-level density, identifying the group symmetry and the arithmetic of moments of Satake parameters

Blake Mackall, Caroline Turnage-Butterbaugh, Christina Rapti, Eva Fourakis, Karl Winsor, Kevin Yang, Steven J. Miller, with an appendix by Megumi Asada

arxiv:1602.00972 v1 · 2016-02-02 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67JQ7ALX2L342GO5J6WVYEHJ6Q}

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	2026-05-18T01:21:24.125086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d30f8177d2f7cd19dd4fad5c10e9f404666a2ac97241dddc53b11e617b66f9

Aliases

arxiv: 1602.00972 · arxiv_version: 1602.00972v1 · doi: 10.48550/arxiv.1602.00972 · pith_short_12: 67JQ7ALX2L34 · pith_short_16: 67JQ7ALX2L342GO5 · pith_short_8: 67JQ7ALX

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/67JQ7ALX2L342GO5J6WVYEHJ6Q \
  | 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: f7d30f8177d2f7cd19dd4fad5c10e9f404666a2ac97241dddc53b11e617b66f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6157c9c34695e851baf4dc1faa8c4c87c4fef49c3e37bcc5ece6032cc15f4041",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-02T15:23:09Z",
    "title_canon_sha256": "c29f9db996319293da77bf26f68bdf636625e4df6431cde17e213b2268fac3c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00972",
    "kind": "arxiv",
    "version": 1
  }
}