Pith Number

pith:KVKXZOXE

pith:2016:KVKXZOXEFS6XHSJDQ7GRHI5WUU

not attested not anchored not stored refs pending

Towards characterising polynomiality of $\frac{1-q^b}{1-q^a}{n\brack m}$ and applications

Mohamed El Bachraoui

arxiv:1604.02305 v1 · 2016-04-08 · 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{KVKXZOXEFS6XHSJDQ7GRHI5WUU}

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	2026-05-18T01:17:26.902453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55557cbae42cbd73c92387cd13a3b6a52e1103d8e3a3977da2bf76f3aaf3b870

Aliases

arxiv: 1604.02305 · arxiv_version: 1604.02305v1 · doi: 10.48550/arxiv.1604.02305 · pith_short_12: KVKXZOXEFS6X · pith_short_16: KVKXZOXEFS6XHSJD · pith_short_8: KVKXZOXE

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/KVKXZOXEFS6XHSJDQ7GRHI5WUU \
  | 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: 55557cbae42cbd73c92387cd13a3b6a52e1103d8e3a3977da2bf76f3aaf3b870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f7b5d1c31344a1b2e0e615f538e4a731756d88d71c628eb4097820eb3eeeeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-08T11:11:32Z",
    "title_canon_sha256": "5002ac8cefcf06d45e167667822f88c90ab05a5ecf8cbf1914d46149d2717069"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02305",
    "kind": "arxiv",
    "version": 1
  }
}