Pith Number

pith:5SXW43L3

pith:2023:5SXW43L3WHF5VXSW7V5VGB2ZIG

not attested not anchored not stored refs pending

Many $p$-adic odd zeta values are irrational

Johannes Sprang, Li Lai

arxiv:2306.10393 v2 · 2023-06-17 · 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{5SXW43L3WHF5VXSW7V5VGB2ZIG}

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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.

Cited by

1 paper in Pith

On the irrationality of certain $p$-adic zeta values

Receipt and verification

First computed	2026-07-05T10:15:13.640730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecaf6e6d7bb1cbdade56fd7b53075941b60aa138cf3819dfa7e1f7d77391e21e

Aliases

arxiv: 2306.10393 · arxiv_version: 2306.10393v2 · doi: 10.48550/arxiv.2306.10393 · pith_short_12: 5SXW43L3WHF5 · pith_short_16: 5SXW43L3WHF5VXSW · pith_short_8: 5SXW43L3

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/5SXW43L3WHF5VXSW7V5VGB2ZIG \
  | 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: ecaf6e6d7bb1cbdade56fd7b53075941b60aa138cf3819dfa7e1f7d77391e21e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e72db47757d5b4ab7304612092e33e86f6a066a909784defbf1178a0c340d4da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-06-17T17:18:54Z",
    "title_canon_sha256": "d81f4f4437be5e5a93109b69159a18c173b67be50abc1ee438b9526d27355271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.10393",
    "kind": "arxiv",
    "version": 2
  }
}