Pith Number

pith:WSLEMNTI

pith:2012:WSLEMNTIYZI3XS7273HQU4DQB6

not attested not anchored not stored refs pending

On a pair of zeta functions

Zhi-Wei Sun

arxiv:1204.6689 v13 · 2012-04-30 · 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{WSLEMNTIYZI3XS7273HQU4DQB6}

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	2026-05-18T01:01:49.756966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b496463668c651bbcbfafecf0a70700f99b69efc4256bb7c5121ff96d3b3992d

Aliases

arxiv: 1204.6689 · arxiv_version: 1204.6689v13 · doi: 10.48550/arxiv.1204.6689 · pith_short_12: WSLEMNTIYZI3 · pith_short_16: WSLEMNTIYZI3XS72 · pith_short_8: WSLEMNTI

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/WSLEMNTIYZI3XS7273HQU4DQB6 \
  | 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: b496463668c651bbcbfafecf0a70700f99b69efc4256bb7c5121ff96d3b3992d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c127df840777417764e738a67e25a2bab7ecf6d69234d7757f01b59fe0c448d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-30T16:26:38Z",
    "title_canon_sha256": "d874505eddd2cf3d034bd680361b6d5dc1704869e400448f742908563c6c425a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6689",
    "kind": "arxiv",
    "version": 13
  }
}