Pith Number

pith:K3JLEBG6

pith:2015:K3JLEBG6M3Y72LUS6EXH4PP2EP

not attested not anchored not stored refs pending

Some relations between t(a,b,c,d;n) and N(a,b,c,d;n)

Zhi-Hong Sun

arxiv:1511.06177 v4 · 2015-11-19 · 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{K3JLEBG6M3Y72LUS6EXH4PP2EP}

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	2026-05-18T01:25:11.061757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d2b204de66f1fd2e92f12e7e3dfa23d0134174291916386b2dc3b16c528c56

Aliases

arxiv: 1511.06177 · arxiv_version: 1511.06177v4 · doi: 10.48550/arxiv.1511.06177 · pith_short_12: K3JLEBG6M3Y7 · pith_short_16: K3JLEBG6M3Y72LUS · pith_short_8: K3JLEBG6

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/K3JLEBG6M3Y72LUS6EXH4PP2EP \
  | 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: 56d2b204de66f1fd2e92f12e7e3dfa23d0134174291916386b2dc3b16c528c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5782a6965b36828d8754a1fc72c590c7782ed85a2ea6b552cc7bc31f0459b2a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-19T14:15:42Z",
    "title_canon_sha256": "5eae5deb0e5ad00cf44a278f50187e172ca224d6518c93b937ca671f4333ce62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06177",
    "kind": "arxiv",
    "version": 4
  }
}