Pith Number

pith:PEBD4R4G

pith:2021:PEBD4R4GLHVAXSFBJFYDFJO6G3

not attested not anchored not stored refs pending

On Montgomery's pair correlation conjecture: a tale of three integrals

Andr\'es Chirre, Emanuel Carneiro, Micah B. Milinovich, Vorrapan Chandee

arxiv:2108.09258 v2 · 2021-08-20 · math.NT · 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{PEBD4R4GLHVAXSFBJFYDFJO6G3}

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	2026-07-05T03:58:03.107490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79023e478659ea0bc8a1497032a5de36d247e0ba3590dfe9c08b1d42d9fc9d8e

Aliases

arxiv: 2108.09258 · arxiv_version: 2108.09258v2 · doi: 10.48550/arxiv.2108.09258 · pith_short_12: PEBD4R4GLHVA · pith_short_16: PEBD4R4GLHVAXSFB · pith_short_8: PEBD4R4G

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/PEBD4R4GLHVAXSFBJFYDFJO6G3 \
  | 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: 79023e478659ea0bc8a1497032a5de36d247e0ba3590dfe9c08b1d42d9fc9d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ec72e1618698b3b781e9883defb14d44ca9bb3e5b04b6d6b4c30e017c8c70ba",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-20T16:44:05Z",
    "title_canon_sha256": "158816047113a2cfd8507894fbcb2cdc3920d04e4ae34c8cfad8fbdb966958c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.09258",
    "kind": "arxiv",
    "version": 2
  }
}