Pith Number

pith:4ZBZ4CWL

pith:2016:4ZBZ4CWLCAWG2BZ6262LQIAY5J

not attested not anchored not stored refs pending

The equivalence of weak and very weak supersolutions to the porous medium equation

Pekka Lehtel\"a, Teemu Lukkari

arxiv:1603.03641 v1 · 2016-03-11 · 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{4ZBZ4CWLCAWG2BZ6262LQIAY5J}

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	2026-05-18T01:19:15.103194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6439e0acb102c6d073ed7b4b82018ea500fa067c119dd41f3ef9184afa5bac7

Aliases

arxiv: 1603.03641 · arxiv_version: 1603.03641v1 · doi: 10.48550/arxiv.1603.03641 · pith_short_12: 4ZBZ4CWLCAWG · pith_short_16: 4ZBZ4CWLCAWG2BZ6 · pith_short_8: 4ZBZ4CWL

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/4ZBZ4CWLCAWG2BZ6262LQIAY5J \
  | 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: e6439e0acb102c6d073ed7b4b82018ea500fa067c119dd41f3ef9184afa5bac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e7ab7771e5164a187d9e1ecbc1ac5612af18c347be16d995047a23bc5b263fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-11T14:30:33Z",
    "title_canon_sha256": "9c96035e7192d1e4f9b0d9b6b6b9229d74e0d4b5f3e331569b6d06487512e212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03641",
    "kind": "arxiv",
    "version": 1
  }
}