Pith Number

pith:WQ4HPMS4

pith:2019:WQ4HPMS46C4XJDW3VG3MUZG7FQ

not attested not anchored not stored refs pending

Hybrid Proofs of the $q$-Binomial Theorem and other identities

Andrew V. Sills, Dennis Eichhorn, James Mc Laughlin

arxiv:1901.05329 v1 · 2019-01-05 · 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{WQ4HPMS46C4XJDW3VG3MUZG7FQ}

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	2026-05-17T23:56:11.117163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43877b25cf0b9748edba9b6ca64df2c082c3c55a56fe735c9608f508960dbc5

Aliases

arxiv: 1901.05329 · arxiv_version: 1901.05329v1 · doi: 10.48550/arxiv.1901.05329 · pith_short_12: WQ4HPMS46C4X · pith_short_16: WQ4HPMS46C4XJDW3 · pith_short_8: WQ4HPMS4

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/WQ4HPMS46C4XJDW3VG3MUZG7FQ \
  | 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: b43877b25cf0b9748edba9b6ca64df2c082c3c55a56fe735c9608f508960dbc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b81f686c1ebd3237b21ade5dcd0d165b43134ade2418da6a4f98933910b0faf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-05T21:26:23Z",
    "title_canon_sha256": "5a6f9dd05903be856b5790114a1eb93e1431c8ec3d217b392c47545278ac01aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05329",
    "kind": "arxiv",
    "version": 1
  }
}