Pith Number

pith:VPP67HIG

pith:2026:VPP67HIG2LS2ESV2ZMBNPT6HK2

not attested not anchored not stored refs pending

Coefficients of $q$-real numbers: their combinatorial meaning and growth

Pavel Etingof, Valentin Ovsienko

arxiv:2608.06761 v1 · 2026-08-07 · math.CO · 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{VPP67HIG2LS2ESV2ZMBNPT6HK2}

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	2026-08-10T01:11:57.713464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdfef9d06d2e5a24abacb02d7cfc756b499393f312f05eaa61d4563202fe7f7

Aliases

arxiv: 2608.06761 · arxiv_version: 2608.06761v1 · doi: 10.48550/arxiv.2608.06761 · pith_short_12: VPP67HIG2LS2 · pith_short_16: VPP67HIG2LS2ESV2 · pith_short_8: VPP67HIG

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/VPP67HIG2LS2ESV2ZMBNPT6HK2 \
  | 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: abdfef9d06d2e5a24abacb02d7cfc756b499393f312f05eaa61d4563202fe7f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ec8060fe8ffb38328474c6191194752cd3b2fddfe38597311ed30d94b81374",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-07T03:28:01Z",
    "title_canon_sha256": "1ef85e5cca867cf2567061a3c7a9921f29b60e8ccfe706cd59a0ba2b4f9d99ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06761",
    "kind": "arxiv",
    "version": 1
  }
}