Pith Number

pith:RYIWTUTK

pith:2020:RYIWTUTKDN4ZYDKJHWFBUDLPQQ

not attested not anchored not stored refs pending

A family of Exponential Integrals suggested by Stellar Dynamics

Astronomy, Italy), Luca Ciotti (Dept. of Physics, University of Bologna

arxiv:2009.06452 v1 · 2020-09-14 · 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{RYIWTUTKDN4ZYDKJHWFBUDLPQQ}

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	2026-07-05T01:35:08.794832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e1169d26a1b799c0d493d8a1a0d6f841a225e0e41f043ad49a59b6594a38c1d

Aliases

arxiv: 2009.06452 · arxiv_version: 2009.06452v1 · doi: 10.48550/arxiv.2009.06452 · pith_short_12: RYIWTUTKDN4Z · pith_short_16: RYIWTUTKDN4ZYDKJ · pith_short_8: RYIWTUTK

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/RYIWTUTKDN4ZYDKJHWFBUDLPQQ \
  | 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: 8e1169d26a1b799c0d493d8a1a0d6f841a225e0e41f043ad49a59b6594a38c1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6300a4ff483f41a5f2248b565dcf22b204cf9956f41115afca628cc5d761a316",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-09-14T14:08:22Z",
    "title_canon_sha256": "4367274f2191b707ee07fd7fffde8c788487413ea72be2bce2f0b17774a54154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.06452",
    "kind": "arxiv",
    "version": 1
  }
}