pith. sign in
Pith Number

pith:F2LRA4XD

pith:2014:F2LRA4XDPZP45HKQ7CR4747SB5
not attested not anchored not stored refs pending

Exponential Convergence Towards Stationary States for the 1D Porous Medium Equation with Fractional Pressure

J. A. Carrillo, J. L. V\'azquez, M. C. Santos, Y. Huang

arxiv:1407.4392 v1 · 2014-07-16 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F2LRA4XDPZP45HKQ7CR4747SB5}

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 2026-05-18T02:47:30.556328Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2e971072e37e5fce9d50f8a3cff3f20f7ae0e1c5620a0ac201f91f9460a065d6

Aliases

arxiv: 1407.4392 · arxiv_version: 1407.4392v1 · doi: 10.48550/arxiv.1407.4392 · pith_short_12: F2LRA4XDPZP4 · pith_short_16: F2LRA4XDPZP45HKQ · pith_short_8: F2LRA4XD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F2LRA4XDPZP45HKQ7CR4747SB5 \
  | 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: 2e971072e37e5fce9d50f8a3cff3f20f7ae0e1c5620a0ac201f91f9460a065d6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2e4c7f0646d77cbdc6ffe68a1590c2e6281e3ca65cbacf313c46c9ae4dfc4947",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-16T17:46:37Z",
    "title_canon_sha256": "67e9cb6065abf51adebe3807468148302f0eddeb7dcab464594c96e45bcd62d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4392",
    "kind": "arxiv",
    "version": 1
  }
}