Pith Number

pith:LYB7YOGZ

pith:2010:LYB7YOGZADYCUGQXOOAMYEHNYR

not attested not anchored not stored refs pending

Hierarchical Gompertzian growth maps with application in astrophysics

S. De Martino, S. De Siena

arxiv:1012.4975 v1 · 2010-12-22 · nlin.AO · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYB7YOGZADYCUGQXOOAMYEHNYR}

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	2026-05-18T04:32:44.798584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e03fc38d900f02a1a177380cc10edc44295c1d1262e94d0b2bd7a70995e808b

Aliases

arxiv: 1012.4975 · arxiv_version: 1012.4975v1 · doi: 10.48550/arxiv.1012.4975 · pith_short_12: LYB7YOGZADYC · pith_short_16: LYB7YOGZADYCUGQX · pith_short_8: LYB7YOGZ

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/LYB7YOGZADYCUGQXOOAMYEHNYR \
  | 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: 5e03fc38d900f02a1a177380cc10edc44295c1d1262e94d0b2bd7a70995e808b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f5284f069f290080dba1e323f399f60010c68ff9dfcc07892f85f2966803dd",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2010-12-22T13:52:24Z",
    "title_canon_sha256": "ec034281d8ff391a2a29beaae15e4378e7d7c4f239d486fc3a96a2eea01f346b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4975",
    "kind": "arxiv",
    "version": 1
  }
}