Pith Number

pith:HPUVJZFQ

pith:2018:HPUVJZFQ5VQ6GV2MKJVVUQL3FV

not attested not anchored not stored refs pending

Extreme values for $S_n(\sigma,t)$ near the critical line

Andr\'es Chirre

arxiv:1807.11642 v1 · 2018-07-31 · 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{HPUVJZFQ5VQ6GV2MKJVVUQL3FV}

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	2026-05-18T00:09:21.528848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be954e4b0ed61e3574c526b5a417b2d77b699521ed9403d679a004c0564ff11

Aliases

arxiv: 1807.11642 · arxiv_version: 1807.11642v1 · doi: 10.48550/arxiv.1807.11642 · pith_short_12: HPUVJZFQ5VQ6 · pith_short_16: HPUVJZFQ5VQ6GV2M · pith_short_8: HPUVJZFQ

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/HPUVJZFQ5VQ6GV2MKJVVUQL3FV \
  | 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: 3be954e4b0ed61e3574c526b5a417b2d77b699521ed9403d679a004c0564ff11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "182433ec9b7c999be6b2456c0ca5bc0979f5e844b1a4766cd2ae770680d80120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-31T02:50:47Z",
    "title_canon_sha256": "ec21e5b23938912351c37709ad1096cb6c24028c310437d9cd3ba3b2f6df79ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11642",
    "kind": "arxiv",
    "version": 1
  }
}