Pith Number

pith:6EJQWHEJ

pith:2016:6EJQWHEJZTWEPFEDDBJMYXH5MK

not attested not anchored not stored refs pending

Dougall's $_5F_4$ sum and the WZ-algorithm

Jes\'us Guillera

arxiv:1611.04385 v5 · 2016-11-14 · 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{6EJQWHEJZTWEPFEDDBJMYXH5MK}

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	2026-05-17T23:44:23.140514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1130b1c89ccec4794831852cc5cfd62b4c007698eb076e9bcf13216e5efc656

Aliases

arxiv: 1611.04385 · arxiv_version: 1611.04385v5 · doi: 10.48550/arxiv.1611.04385 · pith_short_12: 6EJQWHEJZTWE · pith_short_16: 6EJQWHEJZTWEPFED · pith_short_8: 6EJQWHEJ

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/6EJQWHEJZTWEPFEDDBJMYXH5MK \
  | 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: f1130b1c89ccec4794831852cc5cfd62b4c007698eb076e9bcf13216e5efc656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6425f66f6391398b22d06ffbe3d13cd354754dc5c0a4fc0c629063ac6daf0ff5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-14T14:01:18Z",
    "title_canon_sha256": "164a5c34574a2c9c4666f92d3f50a0a7c4986493fab5582b5d0a2381f78cb9ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04385",
    "kind": "arxiv",
    "version": 5
  }
}