Pith Number

pith:7KMKK7N7

pith:2022:7KMKK7N76FNIIPUHQZR6PFNP7X

not attested not anchored not stored refs pending

A gradient flow for the Porous Medium Equations with Dirichlet boundary conditions

Dongkwang Kim, Dowan Koo, Geuntaek Seo

arxiv:2212.06092 v3 · 2022-12-12 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KMKK7N76FNIIPUHQZR6PFNP7X}

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	2026-07-05T11:11:29.268016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa98a57dbff15a843e878663e795affdd78192a3fd2ae70daa2feff53dcfd6bd

Aliases

arxiv: 2212.06092 · arxiv_version: 2212.06092v3 · doi: 10.48550/arxiv.2212.06092 · pith_short_12: 7KMKK7N76FNI · pith_short_16: 7KMKK7N76FNIIPUH · pith_short_8: 7KMKK7N7

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/7KMKK7N76FNIIPUHQZR6PFNP7X \
  | 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: fa98a57dbff15a843e878663e795affdd78192a3fd2ae70daa2feff53dcfd6bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdcade8d3a7e230eeafa75860c33850711412fae0fb81e45b7e1d45e7de23a75",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-12-12T18:06:21Z",
    "title_canon_sha256": "52ac6dda0a2050502ac8291b0a9b79ac199cb1350019be7a942ccac473223a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.06092",
    "kind": "arxiv",
    "version": 3
  }
}