Pith Number

pith:WTKIK6XX

pith:2012:WTKIK6XXBZGTGB3BNRMNARW6VP

not attested not anchored not stored refs pending

Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator

Hafedh Herichi, Michel L. Lapidus

arxiv:1210.0882 v3 · 2012-10-02 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTKIK6XXBZGTGB3BNRMNARW6VP}

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	2026-05-18T03:05:18.819883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d4857af70e4d3307616c58d046deabc2688fe4e89131db310e66fb7f3761cd

Aliases

arxiv: 1210.0882 · arxiv_version: 1210.0882v3 · doi: 10.48550/arxiv.1210.0882 · pith_short_12: WTKIK6XXBZGT · pith_short_16: WTKIK6XXBZGTGB3B · pith_short_8: WTKIK6XX

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/WTKIK6XXBZGTGB3BNRMNARW6VP \
  | 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: b4d4857af70e4d3307616c58d046deabc2688fe4e89131db310e66fb7f3761cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b1f43e1f83dc4141b33ebc40a13b0e6a310c476257abf65abc09f075c63899",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-02T19:10:11Z",
    "title_canon_sha256": "c1903c489219291661a4fd49b879cba8ce0c1e16816d2468d81460f1b68dee44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0882",
    "kind": "arxiv",
    "version": 3
  }
}