Pith Number

pith:JQUIVEKP

pith:2018:JQUIVEKP4PYWXLSWXOFHFLVIEM

not attested not anchored not stored refs pending

On the Random Wave Conjecture for Eisenstein series

Goran Djankovi\'c, Rizwanur Khan

arxiv:1809.07848 v1 · 2018-09-20 · 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{JQUIVEKP4PYWXLSWXOFHFLVIEM}

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	2026-05-18T00:05:11.139832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c288a914fe3f16bae56bb8a72aea82312ac859e34fcf38e7ac6dad32b0c1ad6

Aliases

arxiv: 1809.07848 · arxiv_version: 1809.07848v1 · doi: 10.48550/arxiv.1809.07848 · pith_short_12: JQUIVEKP4PYW · pith_short_16: JQUIVEKP4PYWXLSW · pith_short_8: JQUIVEKP

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/JQUIVEKP4PYWXLSWXOFHFLVIEM \
  | 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: 4c288a914fe3f16bae56bb8a72aea82312ac859e34fcf38e7ac6dad32b0c1ad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0817264f034a70f7e4c22a6eb7dac669b51c18ceeea354a9d8759007df806f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-20T20:42:53Z",
    "title_canon_sha256": "e042e54a9516818d728ea2b9c1bdbf5bb658a2c3c5327baad2cc0ad454d4c893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07848",
    "kind": "arxiv",
    "version": 1
  }
}