Pith Number

pith:QTG2ZHSJ

pith:2005:QTG2ZHSJ4EEAD53B3Q25XWHWMP

not attested not anchored not stored refs pending

Quadratic addition rules for quantum integers

Alex V. Kontorovich, Melvyn B. Nathanson

arxiv:math/0503177 v1 · 2005-03-09 · math.NT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTG2ZHSJ4EEAD53B3Q25XWHWMP}

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	2026-05-18T00:53:45.960755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84cdac9e49e10801f761dc35dbd8f663c61a1632bc3524fa80e780d949011a63

Aliases

arxiv: math/0503177 · arxiv_version: math/0503177v1 · doi: 10.48550/arxiv.math/0503177 · pith_short_12: QTG2ZHSJ4EEA · pith_short_16: QTG2ZHSJ4EEAD53B · pith_short_8: QTG2ZHSJ

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/QTG2ZHSJ4EEAD53B3Q25XWHWMP \
  | 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: 84cdac9e49e10801f761dc35dbd8f663c61a1632bc3524fa80e780d949011a63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d62ecb302534aa1aa680ee7bee05674abddbbba268ed94f9f63cc89d67ad9c9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-03-09T15:21:42Z",
    "title_canon_sha256": "27fb876de6a02d07038344bbdce98ca8510502fdaefe639d3d77c77d23f3f22f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503177",
    "kind": "arxiv",
    "version": 1
  }
}