Pith Number

pith:2JHI765H

pith:2012:2JHI765H6ZGCCXFHT6V6JZM4O4

not attested not anchored not stored refs pending

Asymtotics for Moments of Higher Ranks

Matthias Waldherr

arxiv:1205.2904 v1 · 2012-05-13 · 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{2JHI765H6ZGCCXFHT6V6JZM4O4}

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	2026-05-18T03:55:45.720615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d24e8ffba7f64c215ca79fabe4e59c7728c89b8d254c62a5c4d56637064d2f7b

Aliases

arxiv: 1205.2904 · arxiv_version: 1205.2904v1 · doi: 10.48550/arxiv.1205.2904 · pith_short_12: 2JHI765H6ZGC · pith_short_16: 2JHI765H6ZGCCXFH · pith_short_8: 2JHI765H

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/2JHI765H6ZGCCXFHT6V6JZM4O4 \
  | 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: d24e8ffba7f64c215ca79fabe4e59c7728c89b8d254c62a5c4d56637064d2f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f4acc876dd45bd1b47e7111a35e169a942e2e78710694b7c6e9874e2cc252b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-13T19:27:14Z",
    "title_canon_sha256": "4e6572fe2dc1f73ff12ad21862b9b2e2ab3390a8383dbe9d3b08b8e6c8e4e035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2904",
    "kind": "arxiv",
    "version": 1
  }
}