Pith Number

pith:6AAZDLHP

pith:2012:6AAZDLHPVHLJDCJ3W6U6UF7BC7

not attested not anchored not stored refs pending

Long time existence of Smooth solution for the porous medium equation in a bounded domain

SungHoon Kim

arxiv:1205.6716 v2 · 2012-05-30 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AAZDLHPVHLJDCJ3W6U6UF7BC7}

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	2026-05-18T03:45:12.290396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f00191acefa9d691893bb7a9ea17e117d6996203674658b9a3a8f383921fbb42

Aliases

arxiv: 1205.6716 · arxiv_version: 1205.6716v2 · doi: 10.48550/arxiv.1205.6716 · pith_short_12: 6AAZDLHPVHLJ · pith_short_16: 6AAZDLHPVHLJDCJ3 · pith_short_8: 6AAZDLHP

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/6AAZDLHPVHLJDCJ3W6U6UF7BC7 \
  | 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: f00191acefa9d691893bb7a9ea17e117d6996203674658b9a3a8f383921fbb42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0fc83a6192af475244859b08be53a338d8bdb4a043cb3eef46b9505e2dedfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-30T15:06:29Z",
    "title_canon_sha256": "54c831a3994f17f847a80fab0f79191aba70a4550ad18626009982544aca89c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6716",
    "kind": "arxiv",
    "version": 2
  }
}