Pith Number

pith:LMFKDF4F

pith:2016:LMFKDF4FZDQTSC2JMGRC6IERH2

not attested not anchored not stored refs pending

A weak Harnack estimate for supersolutions to the porous medium equation

Pekka Lehtel\"a

arxiv:1607.00785 v1 · 2016-07-04 · 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{LMFKDF4FZDQTSC2JMGRC6IERH2}

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	2026-05-18T01:11:34.281023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b0aa19785c8e1390b4961a22f20913e99f3dabf3f19a61a31e4988dce3cd552

Aliases

arxiv: 1607.00785 · arxiv_version: 1607.00785v1 · doi: 10.48550/arxiv.1607.00785 · pith_short_12: LMFKDF4FZDQT · pith_short_16: LMFKDF4FZDQTSC2J · pith_short_8: LMFKDF4F

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/LMFKDF4FZDQTSC2JMGRC6IERH2 \
  | 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: 5b0aa19785c8e1390b4961a22f20913e99f3dabf3f19a61a31e4988dce3cd552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fc394c2f6874f3a61c0b9281073091b89dc0f81f31ae1ae06f73751431006e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-04T09:11:10Z",
    "title_canon_sha256": "c0954f91fea8d0caf9e11e36afd44200554863b6c2f30d4eb35706ddbc304c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00785",
    "kind": "arxiv",
    "version": 1
  }
}