Pith Number

pith:IP5GKAH6

pith:2016:IP5GKAH6X6PFPPJAQZNCMDHWJF

not attested not anchored not stored refs pending

Bilateral sums related to Ramanujan-like series

Jes\'us Guillera

arxiv:1610.04839 v3 · 2016-10-16 · 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{IP5GKAH6X6PFPPJAQZNCMDHWJF}

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	2026-05-17T23:44:23.168110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43fa6500febf9e57bd20865a260cf64979912b178a26c3843eb7eee36b9649c9

Aliases

arxiv: 1610.04839 · arxiv_version: 1610.04839v3 · doi: 10.48550/arxiv.1610.04839 · pith_short_12: IP5GKAH6X6PF · pith_short_16: IP5GKAH6X6PFPPJA · pith_short_8: IP5GKAH6

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/IP5GKAH6X6PFPPJAQZNCMDHWJF \
  | 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: 43fa6500febf9e57bd20865a260cf64979912b178a26c3843eb7eee36b9649c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755c28df8ff79a69aee4869c564e3a013e010c71655c39ec70979a71f4b54e5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-16T10:21:54Z",
    "title_canon_sha256": "d9be3a7027b2bf166005b4693e9bde94f7e58b8e308a1e95acc5a3b052a8d294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04839",
    "kind": "arxiv",
    "version": 3
  }
}