Pith Number

pith:NHAGWXDV

pith:2008:NHAGWXDVPCYUWGCGRAH7AL75FA

not attested not anchored not stored refs pending

Generalized Exponential Function and some of its Applications to Complex Systems

Alexandre Souto Martinez, Cesar Augusto Sangaletti Tercariol, Rodrigo Silva Gonzalez

arxiv:0812.3071 v1 · 2008-12-16 · physics.data-an · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHAGWXDVPCYUWGCGRAH7AL75FA}

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	2026-05-18T04:39:17.020048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c06b5c7578b14b1846880ff02ffd280376a6a11a853a62ee148b0b5489b117

Aliases

arxiv: 0812.3071 · arxiv_version: 0812.3071v1 · doi: 10.48550/arxiv.0812.3071 · pith_short_12: NHAGWXDVPCYU · pith_short_16: NHAGWXDVPCYUWGCG · pith_short_8: NHAGWXDV

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/NHAGWXDVPCYUWGCGRAH7AL75FA \
  | 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: 69c06b5c7578b14b1846880ff02ffd280376a6a11a853a62ee148b0b5489b117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "134f8caa0859a69d69b62187529ef056a88509cb74cd96b4d8619e9e5c0fe049",
    "cross_cats_sorted": [
      "physics.gen-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2008-12-16T14:25:48Z",
    "title_canon_sha256": "5f48f3ea823b0aa9c6cb37a99df27f1694519b74f27f496b1befc463f2b2e721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3071",
    "kind": "arxiv",
    "version": 1
  }
}