Pith Number

pith:GNHLJP4N

pith:2012:GNHLJP4N22AYBMSSYRJG6LWD2J

not attested not anchored not stored refs pending

Parabolic Type Equations and Markov Stochastic Processes on Adeles

Sergii M. Torba, W. A. Zuniga-Galindo

arxiv:1206.5213 v1 · 2012-06-22 · math-ph · math.AP · math.FA · math.MP · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNHLJP4N22AYBMSSYRJG6LWD2J}

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	2026-05-18T03:16:17.372765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

334eb4bf8dd68180b252c4526f2ec3d252d654126655df10b6dd14f49b18140a

Aliases

arxiv: 1206.5213 · arxiv_version: 1206.5213v1 · doi: 10.48550/arxiv.1206.5213 · pith_short_12: GNHLJP4N22AY · pith_short_16: GNHLJP4N22AYBMSS · pith_short_8: GNHLJP4N

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/GNHLJP4N22AYBMSSYRJG6LWD2J \
  | 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: 334eb4bf8dd68180b252c4526f2ec3d252d654126655df10b6dd14f49b18140a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1de6d36a89efec36eaa340bc432b6a48770c2ae341b79ea3e1ccff69af1cee1b",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.MP",
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-22T17:25:00Z",
    "title_canon_sha256": "0616e36d0f0d0f83a79596c9ddf1e712cc75f6a075cc9053b4a3a20e1dc3c334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5213",
    "kind": "arxiv",
    "version": 1
  }
}