Pith Number

pith:7TAILXVG

pith:2011:7TAILXVGVPXLQC3RXMTWJVXNWX

not attested not anchored not stored refs pending

A tauberian approach to RH

Benoit Cloitre

arxiv:1107.0812 v3 · 2011-07-05 · 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{7TAILXVGVPXLQC3RXMTWJVXNWX}

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	2026-05-18T00:51:58.643385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcc085dea6abeeb80b71bb2764d6edb5fcc8c2cb7aeda25ae22345dd8963d2ae

Aliases

arxiv: 1107.0812 · arxiv_version: 1107.0812v3 · doi: 10.48550/arxiv.1107.0812 · pith_short_12: 7TAILXVGVPXL · pith_short_16: 7TAILXVGVPXLQC3R · pith_short_8: 7TAILXVG

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/7TAILXVGVPXLQC3RXMTWJVXNWX \
  | 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: fcc085dea6abeeb80b71bb2764d6edb5fcc8c2cb7aeda25ae22345dd8963d2ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6f9e654e48c2c5c7c265c89b6275cfd0e36e2e6cb70f3ec30cd44153e67e4ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-05T08:12:20Z",
    "title_canon_sha256": "6d9bdf9b45308da4c714b889ac055c0e0a5a703a72f5b4c4884772d5cca1bbca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0812",
    "kind": "arxiv",
    "version": 3
  }
}