Pith Number

pith:MYTF7UEY

pith:2018:MYTF7UEYA73VTBLQOA7AWJRDUV

not attested not anchored not stored refs pending

Proofs of some Ramanujan series for $1/\pi$ using a Zeilberger's program

Jes\'us Guillera

arxiv:1804.02695 v2 · 2018-04-08 · 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{MYTF7UEYA73VTBLQOA7AWJRDUV}

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	2026-05-18T00:18:30.728762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66265fd09807f7598570703e0b2623a5637e87cf7570f7cd31c040cf6291b30d

Aliases

arxiv: 1804.02695 · arxiv_version: 1804.02695v2 · doi: 10.48550/arxiv.1804.02695 · pith_short_12: MYTF7UEYA73V · pith_short_16: MYTF7UEYA73VTBLQ · pith_short_8: MYTF7UEY

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/MYTF7UEYA73VTBLQOA7AWJRDUV \
  | 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: 66265fd09807f7598570703e0b2623a5637e87cf7570f7cd31c040cf6291b30d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f740b6b5ac0843f5f05212707cff5dd272a903aa5bffb7136029f53473bfc0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-08T14:34:52Z",
    "title_canon_sha256": "e09735b9764262a7ba685cd9d2aab3740fa310971b2508300fdfa3cd3e615fca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02695",
    "kind": "arxiv",
    "version": 2
  }
}