Pith Number

pith:STEMHRZN

pith:2013:STEMHRZNPSHYPLVAC3ZX6GALR7

not attested not anchored not stored refs pending

Zeros of L-functions outside the critical strip

Andrew R. Booker, Frank Thorne

arxiv:1306.6362 v2 · 2013-06-26 · 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{STEMHRZNPSHYPLVAC3ZX6GALR7}

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	2026-05-18T00:13:08.442528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94c8c3c72d7c8f87aea016f37f180b8fe20f27dba91bceced11b6ce6ca68e856

Aliases

arxiv: 1306.6362 · arxiv_version: 1306.6362v2 · doi: 10.48550/arxiv.1306.6362 · pith_short_12: STEMHRZNPSHY · pith_short_16: STEMHRZNPSHYPLVA · pith_short_8: STEMHRZN

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/STEMHRZNPSHYPLVAC3ZX6GALR7 \
  | 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: 94c8c3c72d7c8f87aea016f37f180b8fe20f27dba91bceced11b6ce6ca68e856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "152ca8e218ddd07fec8522bac6d9b2acd2290e8b24f565f3a47c20b915bc36f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-26T21:08:03Z",
    "title_canon_sha256": "d82a12bc41aeeeec64818f6c0cdb2d6a17c096cf9232a9e41272daba221eb6e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6362",
    "kind": "arxiv",
    "version": 2
  }
}