Pith Number

pith:VQRHRP4N

pith:2012:VQRHRP4N2VNTEW32G4QAHX32BG

not attested not anchored not stored refs pending

Self-Similar Solutions to a Density-Dependent Reaction-Diffusion Model

Kannika Khompurngson, Waipot Ngamsaad

arxiv:1204.1867 v2 · 2012-04-09 · physics.bio-ph · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQRHRP4N2VNTEW32G4QAHX32BG}

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	2026-05-18T03:53:19.758639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2278bf8dd55b325b7a372003df7a09ab21179fe1a93fe05e0cbdc3718f9c38

Aliases

arxiv: 1204.1867 · arxiv_version: 1204.1867v2 · doi: 10.48550/arxiv.1204.1867 · pith_short_12: VQRHRP4N2VNT · pith_short_16: VQRHRP4N2VNTEW32 · pith_short_8: VQRHRP4N

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/VQRHRP4N2VNTEW32G4QAHX32BG \
  | 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: ac2278bf8dd55b325b7a372003df7a09ab21179fe1a93fe05e0cbdc3718f9c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65fde8adb583a3e80540d8da26b15cfdd4939b23096b78f72d018841486e0210",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2012-04-09T12:23:22Z",
    "title_canon_sha256": "4c9bb0c49f95c783256c04a8e15d3db18190097c1037b4e7b80e8aa0833abbcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1867",
    "kind": "arxiv",
    "version": 2
  }
}