Pith Number

pith:UCEN6TQV

pith:2006:UCEN6TQVLMYNKRRJNOJTZZ244H

not attested not anchored not stored refs pending

Irrationality of $\zeta_q(1)$ and $\zeta_q(2)$

Kelly Postelmans, Walter Van Assche

arxiv:math/0604312 v1 · 2006-04-13 · math.CA · 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{UCEN6TQVLMYNKRRJNOJTZZ244H}

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	2026-05-18T03:11:24.441188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a088df4e155b30d546296b933ce75ce1db322c0043e3b61018a74016974d34cd

Aliases

arxiv: math/0604312 · arxiv_version: math/0604312v1 · doi: 10.48550/arxiv.math/0604312 · pith_short_12: UCEN6TQVLMYN · pith_short_16: UCEN6TQVLMYNKRRJ · pith_short_8: UCEN6TQV

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/UCEN6TQVLMYNKRRJNOJTZZ244H \
  | 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: a088df4e155b30d546296b933ce75ce1db322c0043e3b61018a74016974d34cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1282f48d2de9baf7804923f03937004f343cb1e0709b1cff14f175ec4b3967af",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-04-13T14:04:02Z",
    "title_canon_sha256": "18c314011ebda2feb92cafb1ee91d6d96f729e9ada85dfd634f407d68f207ea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604312",
    "kind": "arxiv",
    "version": 1
  }
}