Pith Number

pith:5AIUF7MA

pith:2021:5AIUF7MA5NLWFPHJQZJBJYZELF

not attested not anchored not stored refs pending

From Basel Problem to multiple zeta values

Masato Kobayashi

arxiv:2112.03361 v1 · 2021-12-06 · 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{5AIUF7MA5NLWFPHJQZJBJYZELF}

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	2026-07-05T03:38:44.700483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e81142fd80eb5762bce9865214e32459450eec4613be9d7414b6d2764f65a98f

Aliases

arxiv: 2112.03361 · arxiv_version: 2112.03361v1 · doi: 10.48550/arxiv.2112.03361 · pith_short_12: 5AIUF7MA5NLW · pith_short_16: 5AIUF7MA5NLWFPHJ · pith_short_8: 5AIUF7MA

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/5AIUF7MA5NLWFPHJQZJBJYZELF \
  | 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: e81142fd80eb5762bce9865214e32459450eec4613be9d7414b6d2764f65a98f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10ce8d0c9a06ba75c43b089f1f71dbcf7f488b5d6167a20d9d61eb9f253d5a56",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-12-06T21:14:05Z",
    "title_canon_sha256": "e93d5e937c31e4f8e035018007f23cf6d86810512cfabcb31ab443313029af23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.03361",
    "kind": "arxiv",
    "version": 1
  }
}