Pith Number

pith:DFBJEJWZ

pith:2019:DFBJEJWZVBHETS7ZUXCF4Q4W46

not attested not anchored not stored refs pending

Polynomial Reduction and Super Congruences

Doron Zeilberger, Qing-Hu Hou, Yan-Ping Mu

arxiv:1907.09391 v1 · 2019-07-17 · math.CO · cs.SC · 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{DFBJEJWZVBHETS7ZUXCF4Q4W46}

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	2026-05-17T23:39:59.332154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19429226d9a84e49cbf9a5c45e4396e7804278acbb47efe3256fb24b26b925b7

Aliases

arxiv: 1907.09391 · arxiv_version: 1907.09391v1 · doi: 10.48550/arxiv.1907.09391 · pith_short_12: DFBJEJWZVBHE · pith_short_16: DFBJEJWZVBHETS7Z · pith_short_8: DFBJEJWZ

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/DFBJEJWZVBHETS7ZUXCF4Q4W46 \
  | 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: 19429226d9a84e49cbf9a5c45e4396e7804278acbb47efe3256fb24b26b925b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11df817bf1e74ebcebe4bbdcd543918a08b47f2282c2de0d9141c5a2fc71673c",
    "cross_cats_sorted": [
      "cs.SC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-17T00:21:45Z",
    "title_canon_sha256": "3ffadfb090a9411b6537ad6aa4f4820b3a2dd6d321333d7aa0b188001b8313e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09391",
    "kind": "arxiv",
    "version": 1
  }
}