Pith Number

pith:2HFA2YAO

pith:2024:2HFA2YAOZPOJBX2V7ZP3RB6O3K

not attested not anchored not stored refs pending

The linear independence of $1$, $\zeta(2)$, and $L(2,\chi_{-3})$

Frank Calegari, Vesselin Dimitrov, Yunqing Tang

arxiv:2408.15403 v2 · 2024-08-27 · 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{2HFA2YAOZPOJBX2V7ZP3RB6O3K}

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.

Cited by

3 papers in Pith

Sign-changing bubbling solutions for an exponential nonlinearity in $\mathbb{R}^2$

A virtually nilpotent group whose Green series is not D-finite

A partial result towards the Chowla--Milnor conjecture

Receipt and verification

First computed	2026-07-05T09:07:50.527522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ca0d600ecbdc90df55fe5fb887ceda99462ea33000c98627eec579f55f7108

Aliases

arxiv: 2408.15403 · arxiv_version: 2408.15403v2 · doi: 10.48550/arxiv.2408.15403 · pith_short_12: 2HFA2YAOZPOJ · pith_short_16: 2HFA2YAOZPOJBX2V · pith_short_8: 2HFA2YAO

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/2HFA2YAOZPOJBX2V7ZP3RB6O3K \
  | 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: d1ca0d600ecbdc90df55fe5fb887ceda99462ea33000c98627eec579f55f7108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6be8e14f54c224cc6e850b500e8dd15d9948a0d89ad11ed17cbd1c83f6591df",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-08-27T20:54:15Z",
    "title_canon_sha256": "32a491aa7494be86c3771bc955af22958feee1f0c40400895303c814e315dc0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.15403",
    "kind": "arxiv",
    "version": 2
  }
}