Pith Number

pith:LU5M3EVC

pith:2008:LU5M3EVC4HE477JPJMGZVHQAZ4

not attested not anchored not stored refs pending

Nonlinear diffusion of dislocation density and self-similar solutions

Grzegorz Karch, Piotr Biler, Regis Monneau

arxiv:0812.4979 v1 · 2008-12-29 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LU5M3EVC4HE477JPJMGZVHQAZ4}

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	2026-05-18T02:15:03.688044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d3acd92a2e1c9cffd2f4b0d9a9e00cf3e024b1025b1a84db62e1641e850960f

Aliases

arxiv: 0812.4979 · arxiv_version: 0812.4979v1 · doi: 10.48550/arxiv.0812.4979 · pith_short_12: LU5M3EVC4HE4 · pith_short_16: LU5M3EVC4HE477JP · pith_short_8: LU5M3EVC

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/LU5M3EVC4HE477JPJMGZVHQAZ4 \
  | 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: 5d3acd92a2e1c9cffd2f4b0d9a9e00cf3e024b1025b1a84db62e1641e850960f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2cbaf814f7d5b1fa528ffdfbce8728762e83cc7722957f2158dfe482677b179",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-12-29T21:55:21Z",
    "title_canon_sha256": "e020134e33c8d96dc3c9835392155c28b8928320efc5de22e415dc00228842af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4979",
    "kind": "arxiv",
    "version": 1
  }
}