Pith Number

pith:DPUSZSHV

pith:2015:DPUSZSHVBWUZHVXW2SYBSV6XIW

not attested not anchored not stored refs pending

Multiplex congruence network of natural numbers

Ding-Hua Shi, Guan-Rong Chen, Wen-Xu Wang, Xiao-Yong Yan

arxiv:1512.01615 v3 · 2015-12-05 · math.NT · cs.SI · physics.soc-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPUSZSHVBWUZHVXW2SYBSV6XIW}

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	2026-05-18T01:18:54.044698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1be92cc8f50da993d6f6d4b01957d745b8db58666ecc7d1ea61f46aef599cc69

Aliases

arxiv: 1512.01615 · arxiv_version: 1512.01615v3 · doi: 10.48550/arxiv.1512.01615 · pith_short_12: DPUSZSHVBWUZ · pith_short_16: DPUSZSHVBWUZHVXW · pith_short_8: DPUSZSHV

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/DPUSZSHVBWUZHVXW2SYBSV6XIW \
  | 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: 1be92cc8f50da993d6f6d4b01957d745b8db58666ecc7d1ea61f46aef599cc69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b3e85e4657fbe25d6dec4b450d7f708a050c45c7c4fb54fa872221df9c2ef0",
    "cross_cats_sorted": [
      "cs.SI",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-05T03:24:15Z",
    "title_canon_sha256": "42e30b9373be6889591e1d82cc34432a67abd4bfe0755723ff6a44cb2ec8381a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01615",
    "kind": "arxiv",
    "version": 3
  }
}