Pith Number

pith:GDT4WQGE

pith:2025:GDT4WQGEJFIK5MFWB5MANGWK2F

not attested not anchored not stored refs pending

A porous medium equation with rough weights: sharp Widder theory

Gabriele Grillo, Matteo Muratori, Nikita Simonov, Troy Petitt

arxiv:2506.08159 v1 · 2025-06-09 · 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{GDT4WQGEJFIK5MFWB5MANGWK2F}

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	2026-07-05T11:18:45.627020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e7cb40c44950aeb0b60f58069acad1712b3f41b7b2002762c1f8a2ac44561b

Aliases

arxiv: 2506.08159 · arxiv_version: 2506.08159v1 · doi: 10.48550/arxiv.2506.08159 · pith_short_12: GDT4WQGEJFIK · pith_short_16: GDT4WQGEJFIK5MFW · pith_short_8: GDT4WQGE

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/GDT4WQGEJFIK5MFWB5MANGWK2F \
  | 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: 30e7cb40c44950aeb0b60f58069acad1712b3f41b7b2002762c1f8a2ac44561b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02d850a66fa30fef20d9e0499bc9e8b185ececbfef17d1d674286fbbbab87ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-09T19:10:41Z",
    "title_canon_sha256": "1278d1ce3f1821ffdf2ce531e50a10fc50bd789d4b4eb828e81fe11255d80635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08159",
    "kind": "arxiv",
    "version": 1
  }
}