Pith Number

pith:EY42S4JK

pith:2016:EY42S4JKNHHC4CUNQHXYERGVHA

not attested not anchored not stored refs pending

Asymptotic bounds for special values of shifted convolution Dirichlet series

Olivia Beckwith

arxiv:1608.01727 v2 · 2016-08-05 · 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{EY42S4JKNHHC4CUNQHXYERGVHA}

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	2026-05-18T01:08:28.473702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2639a9712a69ce2e0a8d81ef8244d5382484b067bd18c6f21a3cc65dd978e08a

Aliases

arxiv: 1608.01727 · arxiv_version: 1608.01727v2 · doi: 10.48550/arxiv.1608.01727 · pith_short_12: EY42S4JKNHHC · pith_short_16: EY42S4JKNHHC4CUN · pith_short_8: EY42S4JK

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/EY42S4JKNHHC4CUNQHXYERGVHA \
  | 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: 2639a9712a69ce2e0a8d81ef8244d5382484b067bd18c6f21a3cc65dd978e08a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd2d0db154f50ceb8ce306fd30def1ab2407274d09c4a2a37e4b81094b1ca7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-05T00:23:59Z",
    "title_canon_sha256": "53a6eaa3738a07a47bec823d9bd319e61ec459269694d7b8b9980de129e6773f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01727",
    "kind": "arxiv",
    "version": 2
  }
}