Pith Number

pith:FOZM3I5P

pith:2019:FOZM3I5PQBKCYE3SJRSNXJE5BW

not attested not anchored not stored refs pending

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$

Jakob Ablinger

arxiv:1908.06631 v1 · 2019-08-19 · math.CO · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOZM3I5PQBKCYE3SJRSNXJE5BW}

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	2026-07-04T23:58:17.809218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb2cda3af80542c13724c64dba49d0d9d1675a01136a34d44dbc5159881dda5

Aliases

arxiv: 1908.06631 · arxiv_version: 1908.06631v1 · doi: 10.48550/arxiv.1908.06631 · pith_short_12: FOZM3I5PQBKC · pith_short_16: FOZM3I5PQBKCYE3S · pith_short_8: FOZM3I5P

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/FOZM3I5PQBKCYE3SJRSNXJE5BW \
  | 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: 2bb2cda3af80542c13724c64dba49d0d9d1675a01136a34d44dbc5159881dda5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b752a5471b2359e0e62a7a90f7f65b709549d241110abe8bbc728625695aa45",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-19T07:58:11Z",
    "title_canon_sha256": "6cb1c6b4dcb7e35374bca992717340531a82ee709b68308f48cde4505a4617e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06631",
    "kind": "arxiv",
    "version": 1
  }
}