Pith Number

pith:DETDMSL6

pith:2010:DETDMSL6XH2EM6ZZAMLFYTCL6I

not attested not anchored not stored refs pending

Extreme values of the Dedekind $\Psi$ function

Michel Planat (FEMTO-ST), Patrick Sol\'e

arxiv:1011.1825 v2 · 2010-11-08 · 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{DETDMSL6XH2EM6ZZAMLFYTCL6I}

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	2026-05-18T04:14:47.357854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

192636497eb9f4467b3903165c4c4bf234919c46a6c36c3b27e59d0ffc099e1c

Aliases

arxiv: 1011.1825 · arxiv_version: 1011.1825v2 · doi: 10.48550/arxiv.1011.1825 · pith_short_12: DETDMSL6XH2E · pith_short_16: DETDMSL6XH2EM6ZZ · pith_short_8: DETDMSL6

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/DETDMSL6XH2EM6ZZAMLFYTCL6I \
  | 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: 192636497eb9f4467b3903165c4c4bf234919c46a6c36c3b27e59d0ffc099e1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c28f096eba64e7c5106f9ab8c72ac91b64780ff97ecaec140c846f3df0c5c062",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-08T15:21:51Z",
    "title_canon_sha256": "8a33927a4f60dea6609fab8df9ce08afb3722824f1c3472b08f509f8dcc647a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1825",
    "kind": "arxiv",
    "version": 2
  }
}