Pith Number

pith:TINRFIGW

pith:2016:TINRFIGWE5OQV5QMNCKTCROC5A

not attested not anchored not stored refs pending

Fractional diffusion-type equations with exponential and logarithmic differential operators

Luisa Beghin

arxiv:1601.01476 v1 · 2016-01-07 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TINRFIGWE5OQV5QMNCKTCROC5A}

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	2026-05-18T01:23:13.541106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a1b12a0d6275d0af60c68953145c2e82dfb55c89d67f1a6b519ba7cda052754

Aliases

arxiv: 1601.01476 · arxiv_version: 1601.01476v1 · doi: 10.48550/arxiv.1601.01476 · pith_short_12: TINRFIGWE5OQ · pith_short_16: TINRFIGWE5OQV5QM · pith_short_8: TINRFIGW

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/TINRFIGWE5OQV5QMNCKTCROC5A \
  | 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: 9a1b12a0d6275d0af60c68953145c2e82dfb55c89d67f1a6b519ba7cda052754

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89c54b790e8b59d10852679a4a24a4fbe24d99a43592440437f49a56f7c2eaf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-07T10:44:01Z",
    "title_canon_sha256": "ea0a0b85f4a7a0292d45d8c346c7294835a521c83c2706d06906eaf0e7c934de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01476",
    "kind": "arxiv",
    "version": 1
  }
}