Pith Number

pith:5DPZGPRV

pith:2016:5DPZGPRVCGBDTGGXN674B6NQVT

not attested not anchored not stored refs pending

On Volterra functions and Ramanujan integrals

Francesco Mainardi, Roberto Garrappa

arxiv:1610.01491 v1 · 2016-10-05 · math.CV · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DPZGPRVCGBDTGGXN674B6NQVT}

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	2026-05-18T01:03:07.036401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8df933e3511823998d76fbfc0f9b0acefefa513d53d3e20ba5ab3ed116dc8a8

Aliases

arxiv: 1610.01491 · arxiv_version: 1610.01491v1 · doi: 10.48550/arxiv.1610.01491 · pith_short_12: 5DPZGPRVCGBD · pith_short_16: 5DPZGPRVCGBDTGGX · pith_short_8: 5DPZGPRV

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/5DPZGPRVCGBDTGGXN674B6NQVT \
  | 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: e8df933e3511823998d76fbfc0f9b0acefefa513d53d3e20ba5ab3ed116dc8a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4fdc60ba3180ce1e258bd2f0c20378064574574081aa626b1c5a2b44d369bde",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-10-05T15:57:32Z",
    "title_canon_sha256": "fa7ae174cbf8b7d91d82fceeb9a87aaf180e44bc6e415187f5e543026f801983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01491",
    "kind": "arxiv",
    "version": 1
  }
}