Pith Number

pith:EAH2FW3Z

pith:2012:EAH2FW3ZL5MSMZKSVPY6R6HMJY

not attested not anchored not stored refs pending

Fractional-Hyperbolic Systems

Anatoly N. Kochubei

arxiv:1209.3983 v3 · 2012-09-18 · 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{EAH2FW3ZL5MSMZKSVPY6R6HMJY}

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	2026-05-18T03:13:56.195954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

200fa2db795f59266552abf1e8f8ec4e29560f4570eac95c526255c7dcaeb860

Aliases

arxiv: 1209.3983 · arxiv_version: 1209.3983v3 · doi: 10.48550/arxiv.1209.3983 · pith_short_12: EAH2FW3ZL5MS · pith_short_16: EAH2FW3ZL5MSMZKS · pith_short_8: EAH2FW3Z

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/EAH2FW3ZL5MSMZKSVPY6R6HMJY \
  | 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: 200fa2db795f59266552abf1e8f8ec4e29560f4570eac95c526255c7dcaeb860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "845ab93db33996457f8579b0bfa8e5019e93fdbe3780324f38880af41c26eabb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-18T14:56:25Z",
    "title_canon_sha256": "04bb429b2dfd1b4e8f1a784e6c1b96ab39fa00f9004aeacaef3e1fd98a6e8416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3983",
    "kind": "arxiv",
    "version": 3
  }
}