Pith Number

pith:S47NJZG3

pith:2012:S47NJZG3YVRBIOP4RLHK2O4JZ3

not attested not anchored not stored refs pending

On the zeta function on the line Re(s) = 1

Johan Andersson

arxiv:1207.4336 v1 · 2012-07-18 · 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{S47NJZG3YVRBIOP4RLHK2O4JZ3}

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	2026-05-18T03:50:46.970085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

973ed4e4dbc5621439fc8acead3b89cecbbf1db6b87fa575ee763d1ff066729a

Aliases

arxiv: 1207.4336 · arxiv_version: 1207.4336v1 · doi: 10.48550/arxiv.1207.4336 · pith_short_12: S47NJZG3YVRB · pith_short_16: S47NJZG3YVRBIOP4 · pith_short_8: S47NJZG3

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/S47NJZG3YVRBIOP4RLHK2O4JZ3 \
  | 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: 973ed4e4dbc5621439fc8acead3b89cecbbf1db6b87fa575ee763d1ff066729a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cff74f0c57562020451c949d0f6eb94855ce10bdf9dec77bf6e9bb57a5f40dca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-18T10:55:06Z",
    "title_canon_sha256": "bcdfa0cd2cf1b8b569691c0e47dd9b1edf4717573f7406c107b8002ba3445e81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4336",
    "kind": "arxiv",
    "version": 1
  }
}