Pith Number

pith:RTRT75RY

pith:2016:RTRT75RYKGME55XR2ZAE52S4GY

not attested not anchored not stored refs pending

On the regularity of fractional integrals of modular forms

Carlos Pastor

arxiv:1603.06491 v2 · 2016-03-21 · math.CA · 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{RTRT75RYKGME55XR2ZAE52S4GY}

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	2026-05-18T00:27:48.490020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ce33ff63851984ef6f1d6404eea5c3631b12df3c612adef78c8f92dcd98aa67

Aliases

arxiv: 1603.06491 · arxiv_version: 1603.06491v2 · doi: 10.48550/arxiv.1603.06491 · pith_short_12: RTRT75RYKGME · pith_short_16: RTRT75RYKGME55XR · pith_short_8: RTRT75RY

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/RTRT75RYKGME55XR2ZAE52S4GY \
  | 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: 8ce33ff63851984ef6f1d6404eea5c3631b12df3c612adef78c8f92dcd98aa67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf13cf806b3cc84f8ea72e68d9d86624f2829b4b8f8ec274f5b62c95b57edd3d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-21T16:46:42Z",
    "title_canon_sha256": "977ee5e71cf283f2e4f455b9f8231924c1c35f4925f8da676a33586ad35c4a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06491",
    "kind": "arxiv",
    "version": 2
  }
}