Pith Number

pith:ZDKI3EA4

pith:2015:ZDKI3EA4USHBX553QBXMRRMKK7

not attested not anchored not stored refs pending

Proof of a conjectural supercongruence

Xiang-Zi Meng, Zhi-Wei Sun

arxiv:1502.06909 v3 · 2015-01-12 · 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{ZDKI3EA4USHBX553QBXMRRMKK7}

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	2026-05-18T02:17:42.379885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8d48d901ca48e1bf7bb806ec8c58a57e08da43ca1015590fa53c85a48b79bcb

Aliases

arxiv: 1502.06909 · arxiv_version: 1502.06909v3 · doi: 10.48550/arxiv.1502.06909 · pith_short_12: ZDKI3EA4USHB · pith_short_16: ZDKI3EA4USHBX553 · pith_short_8: ZDKI3EA4

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/ZDKI3EA4USHBX553QBXMRRMKK7 \
  | 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: c8d48d901ca48e1bf7bb806ec8c58a57e08da43ca1015590fa53c85a48b79bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f7c367ca24a5aa61c988d3cdc4053938c1518e21e22fc0c590736c597ee0ff0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-12T16:57:54Z",
    "title_canon_sha256": "bccbda7b66a95a2b6443ad82953e16abfc6223c9322b34de908c6ef0d9eaafc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06909",
    "kind": "arxiv",
    "version": 3
  }
}