Pith Number

pith:O4NAAGAE

pith:2015:O4NAAGAE7HPM6OFHZBM5V5RQUD

not attested not anchored not stored refs pending

A $q$-Digital Binomial Theorem

Hieu D. Nguyen, Toufik Mansour

arxiv:1506.07945 v1 · 2015-06-26 · 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{O4NAAGAE7HPM6OFHZBM5V5RQUD}

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	2026-05-18T01:37:48.535081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771a001804f9decf38a7c859daf630a0d6cd64f125e5fb1750696be75f39c1d0

Aliases

arxiv: 1506.07945 · arxiv_version: 1506.07945v1 · doi: 10.48550/arxiv.1506.07945 · pith_short_12: O4NAAGAE7HPM · pith_short_16: O4NAAGAE7HPM6OFH · pith_short_8: O4NAAGAE

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/O4NAAGAE7HPM6OFHZBM5V5RQUD \
  | 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: 771a001804f9decf38a7c859daf630a0d6cd64f125e5fb1750696be75f39c1d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dcf62e8c7488feff9073128464a2bcb6bb613996b292ef0fb09f87e62ddc0a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-26T02:47:37Z",
    "title_canon_sha256": "82599fd3d07868d4fafafe8de0af34856956d61b7a94cccde1358f778dcc3004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07945",
    "kind": "arxiv",
    "version": 1
  }
}