Pith Number

pith:DU3MBEPN

pith:2018:DU3MBEPNARXCGJTUFCGZVBCLZ6

not attested not anchored not stored refs pending

Infinitely many odd zeta values are irrational. By elementary means

Johannes Sprang

arxiv:1802.09410 v1 · 2018-02-26 · 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{DU3MBEPNARXCGJTUFCGZVBCLZ6}

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	2026-05-18T00:22:33.765890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d36c091ed046e232674288d9a844bcf9c33c4ada21ca0ba2cd5df34360e43eb

Aliases

arxiv: 1802.09410 · arxiv_version: 1802.09410v1 · doi: 10.48550/arxiv.1802.09410 · pith_short_12: DU3MBEPNARXC · pith_short_16: DU3MBEPNARXCGJTU · pith_short_8: DU3MBEPN

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/DU3MBEPNARXCGJTUFCGZVBCLZ6 \
  | 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: 1d36c091ed046e232674288d9a844bcf9c33c4ada21ca0ba2cd5df34360e43eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c5255273877329085404aca5163685c7e16b6d0456a093fdd6ec827fe35f72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-26T15:48:00Z",
    "title_canon_sha256": "0655b34e87e269e04b3ffec7c09711c925343280c3d40fa211eff0a1fc2fe6c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09410",
    "kind": "arxiv",
    "version": 1
  }
}