Pith Number

pith:QWJGZNMF

pith:2016:QWJGZNMF43D2GGAFV2T3CIVM7J

not attested not anchored not stored refs pending

Jacobi series for general parameters and applications

Marina David, Rodica D. Costin

arxiv:1606.02642 v3 · 2016-06-08 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWJGZNMF43D2GGAFV2T3CIVM7J}

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	2026-05-17T23:57:54.432723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85926cb585e6c7a31805aea7b122acfa6880fa51675159a7cd7dd75df1eb0eec

Aliases

arxiv: 1606.02642 · arxiv_version: 1606.02642v3 · doi: 10.48550/arxiv.1606.02642 · pith_short_12: QWJGZNMF43D2 · pith_short_16: QWJGZNMF43D2GGAF · pith_short_8: QWJGZNMF

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/QWJGZNMF43D2GGAFV2T3CIVM7J \
  | 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: 85926cb585e6c7a31805aea7b122acfa6880fa51675159a7cd7dd75df1eb0eec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b93a2dea88cebe21a0d6113488135351b1d773377b303a036d20bde7921c98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-08T17:22:06Z",
    "title_canon_sha256": "25ecf889bbc782847060a8b215e0f1d9db7f798d7462aeab645e3cf424d1de61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02642",
    "kind": "arxiv",
    "version": 3
  }
}