Pith Number

pith:WL356FW7

pith:2010:WL356FW7OBLSIZPLBFB7C5VBH2

not attested not anchored not stored refs pending

Equidistribution Rates, Closed String Amplitudes, and the Riemann Hypothesis

Matteo Cardella, Sergio L. Cacciatori

arxiv:1007.3717 v3 · 2010-07-21 · hep-th · math.DS · 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{WL356FW7OBLSIZPLBFB7C5VBH2}

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	2026-05-18T04:33:29.109868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2f7df16df70572465eb0943f176a13ea4a8b173a1f5222a13262c10f41571ba

Aliases

arxiv: 1007.3717 · arxiv_version: 1007.3717v3 · doi: 10.48550/arxiv.1007.3717 · pith_short_12: WL356FW7OBLS · pith_short_16: WL356FW7OBLSIZPL · pith_short_8: WL356FW7

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/WL356FW7OBLSIZPLBFB7C5VBH2 \
  | 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: b2f7df16df70572465eb0943f176a13ea4a8b173a1f5222a13262c10f41571ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b8332a231b1e56d77ff747cd9a47cdf834ccd56480477db3f6ceea36b3eac3c",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-07-21T18:47:19Z",
    "title_canon_sha256": "169640221aa69ae9c6c96dd8d685a6f03312e97646d67f20516d66ca1b4d9548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3717",
    "kind": "arxiv",
    "version": 3
  }
}