Pith Number

pith:ZHHPBYWN

pith:2011:ZHHPBYWNQHFVA2HP2AK7TLRVTO

not attested not anchored not stored refs pending

Some conjectures on congruences

Zhi-Hong Sun

arxiv:1103.5384 v5 · 2011-03-28 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHHPBYWNQHFVA2HP2AK7TLRVTO}

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	2026-05-18T03:34:25.723562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9cef0e2cd81cb5068efd015f9ae359bbd503f0899279fc3d7499e1b2bfbe5f5

Aliases

arxiv: 1103.5384 · arxiv_version: 1103.5384v5 · doi: 10.48550/arxiv.1103.5384 · pith_short_12: ZHHPBYWNQHFV · pith_short_16: ZHHPBYWNQHFVA2HP · pith_short_8: ZHHPBYWN

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/ZHHPBYWNQHFVA2HP2AK7TLRVTO \
  | 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: c9cef0e2cd81cb5068efd015f9ae359bbd503f0899279fc3d7499e1b2bfbe5f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c0de60b7ed24f5047aaa6ff9bd49ca14d4afd4c24a6e5714e3bda78a863c72e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-28T14:57:07Z",
    "title_canon_sha256": "6f04341f601eb56de6c50f2422181f26b1b4e1c4555cec5353f7115195865b0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5384",
    "kind": "arxiv",
    "version": 5
  }
}