Pith Number

pith:3DZ5ST4T

pith:2016:3DZ5ST4TA7CA6M77ISTP5PPGI6

not attested not anchored not stored refs pending

Wronskians of theta functions and series for $1/\pi$

Alex Berkovich, Heng Huat Chan, Michael J. Schlosser

arxiv:1611.02217 v3 · 2016-11-07 · 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{3DZ5ST4TA7CA6M77ISTP5PPGI6}

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	2026-05-18T00:06:06.476201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f3d94f9307c40f33ff44a6febde647b23ddbc170d1e13e9b902f235ea7aba9

Aliases

arxiv: 1611.02217 · arxiv_version: 1611.02217v3 · doi: 10.48550/arxiv.1611.02217 · pith_short_12: 3DZ5ST4TA7CA · pith_short_16: 3DZ5ST4TA7CA6M77 · pith_short_8: 3DZ5ST4T

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/3DZ5ST4TA7CA6M77ISTP5PPGI6 \
  | 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: d8f3d94f9307c40f33ff44a6febde647b23ddbc170d1e13e9b902f235ea7aba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "170d333baae8df0eaeb509eca8b3a4eeffcf4a59a73ddcdc28bd388ae0798dd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-07T19:11:55Z",
    "title_canon_sha256": "058a0887bb674f4818bc73d241d69bbcd1c972cf5e67c200b5fb4d8ee9ad8ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02217",
    "kind": "arxiv",
    "version": 3
  }
}