Pith Number

pith:3DYNELLC

pith:2012:3DYNELLCGXYHVK4SIYRG2FR2SV

not attested not anchored not stored refs pending

Well-posedness for the Cauchy problem for a fractional porous medium equation with variable density in one space dimension

Fabio Punzo, Gabriele Terrone

arxiv:1212.4623 v1 · 2012-12-19 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DYNELLCGXYHVK4SIYRG2FR2SV}

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	2026-05-18T03:38:11.839416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f0d22d6235f07aab9246226d163a95427a0f7847591e18f80075a815177c3e

Aliases

arxiv: 1212.4623 · arxiv_version: 1212.4623v1 · doi: 10.48550/arxiv.1212.4623 · pith_short_12: 3DYNELLCGXYH · pith_short_16: 3DYNELLCGXYHVK4S · pith_short_8: 3DYNELLC

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/3DYNELLCGXYHVK4SIYRG2FR2SV \
  | 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: d8f0d22d6235f07aab9246226d163a95427a0f7847591e18f80075a815177c3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a477585b2101b716eee48de144224cf7da5482915f6b77603a87a200765d72d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-19T11:11:06Z",
    "title_canon_sha256": "e9e65241cdf868741388e13a71502b8eb1f9e4f4f802db90577e96a8db890811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4623",
    "kind": "arxiv",
    "version": 1
  }
}