Pith Number

pith:XL445U5E

pith:2021:XL445U5EXQNNJUVXUIEICHD5AC

not attested not anchored not stored refs pending

Analysis and mean-field derivation of a porous-medium equation with fractional diffusion

Alexandra Holzinger, Ansgar J\"ungel, Li Chen, Nicola Zamponi

arxiv:2109.08598 v1 · 2021-09-17 · math.AP · 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{XL445U5EXQNNJUVXUIEICHD5AC}

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	2026-07-05T03:15:17.754943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baf9ced3a4bc1ad4d2b7a208811c7d00bc379a954acd77043d058de5b6bcc2e5

Aliases

arxiv: 2109.08598 · arxiv_version: 2109.08598v1 · doi: 10.48550/arxiv.2109.08598 · pith_short_12: XL445U5EXQNN · pith_short_16: XL445U5EXQNNJUVX · pith_short_8: XL445U5E

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/XL445U5EXQNNJUVXUIEICHD5AC \
  | 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: baf9ced3a4bc1ad4d2b7a208811c7d00bc379a954acd77043d058de5b6bcc2e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc77cfc7bad98d67bc1f5a83c4c9e50d0e42493db10ae1b653c615e6a0fc45e9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-17T15:21:17Z",
    "title_canon_sha256": "a55c4033766d9bd27abdc31c69752bc14c61aec6a604cf1cae570bb6a5b783ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.08598",
    "kind": "arxiv",
    "version": 1
  }
}