Pith Number

pith:PRCJP5ZC

pith:2014:PRCJP5ZCI6Q5S7DYZN4W2D7KMP

not attested not anchored not stored refs pending

Figurate primes and Hilbert's 8th problem

Tianxin Cai, Yong Zhang, Zhongyan Shen

arxiv:1406.5661 v1 · 2014-06-22 · 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{PRCJP5ZCI6Q5S7DYZN4W2D7KMP}

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	2026-05-18T02:49:11.045760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4497f72247a1d97c78cb796d0fea63e02c5b2ca2ff7e85b476cc6f5edb6d90

Aliases

arxiv: 1406.5661 · arxiv_version: 1406.5661v1 · doi: 10.48550/arxiv.1406.5661 · pith_short_12: PRCJP5ZCI6Q5 · pith_short_16: PRCJP5ZCI6Q5S7DY · pith_short_8: PRCJP5ZC

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/PRCJP5ZCI6Q5S7DYZN4W2D7KMP \
  | 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: 7c4497f72247a1d97c78cb796d0fea63e02c5b2ca2ff7e85b476cc6f5edb6d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5c0abe25a2ccc661cac136b181ebb680cce8b52501be5b35ea6ae01d90dd520",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-22T01:54:18Z",
    "title_canon_sha256": "69a74a6bcae31f76e6095fa0fee4616a41c6ab341d585e7109bcee8171e5edb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5661",
    "kind": "arxiv",
    "version": 1
  }
}