Pith Number

pith:2YAJRKSZ

pith:2011:2YAJRKSZRP3E4I7CVEJG4NEZ5B

not attested not anchored not stored refs pending

Erd\'elyi-Kober Fractional Diffusion

Gianni Pagnini

arxiv:1112.0890 v1 · 2011-12-05 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YAJRKSZRP3E4I7CVEJG4NEZ5B}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:05:26.715191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d60098aa598bf64e23e2a9126e3499e84838a7bdb69f783ae26205dc15b7ef69

Aliases

arxiv: 1112.0890 · arxiv_version: 1112.0890v1 · doi: 10.48550/arxiv.1112.0890 · pith_short_12: 2YAJRKSZRP3E · pith_short_16: 2YAJRKSZRP3E4I7C · pith_short_8: 2YAJRKSZ

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/2YAJRKSZRP3E4I7CVEJG4NEZ5B \
  | 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: d60098aa598bf64e23e2a9126e3499e84838a7bdb69f783ae26205dc15b7ef69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e46e654c19e210d79c84151584f2fc6d30408a4479d050382bc58f5efcae2577",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-05T11:21:59Z",
    "title_canon_sha256": "a65f8f9adcb95841a149458addc2dddcd56ea08a74317f06a06020ccac0011aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0890",
    "kind": "arxiv",
    "version": 1
  }
}