Pith Number

pith:ZFSNL6NL

pith:2012:ZFSNL6NLJCXXN624RNIYHBV5BI

not attested not anchored not stored refs pending

Algebraic trace functions over the primes

Emmanuel Kowalski, \'Etienne Fouvry, Philippe Michel

arxiv:1211.6043 v3 · 2012-11-26 · 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{ZFSNL6NLJCXXN624RNIYHBV5BI}

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	2026-05-18T02:29:32.520929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c964d5f9ab48af76fb5c8b518386bd0a1767a017036890f2a6a38951c38be4b0

Aliases

arxiv: 1211.6043 · arxiv_version: 1211.6043v3 · doi: 10.48550/arxiv.1211.6043 · pith_short_12: ZFSNL6NLJCXX · pith_short_16: ZFSNL6NLJCXXN624 · pith_short_8: ZFSNL6NL

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/ZFSNL6NLJCXXN624RNIYHBV5BI \
  | 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: c964d5f9ab48af76fb5c8b518386bd0a1767a017036890f2a6a38951c38be4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d057c20b835c31f580a111ad1114060c6f7300b957aef9b20d56e958ecd69de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-26T18:07:33Z",
    "title_canon_sha256": "19a963434faa29297e991fa7b4013c3376e5dfbeb4621cb6e9b66867acc2cdea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6043",
    "kind": "arxiv",
    "version": 3
  }
}