Pith Number

pith:ZDENNJTH

pith:2012:ZDENNJTHGPYKFSV5VWHKWGEEGK

not attested not anchored not stored refs pending

Smooth solutions for a ${p}$-system of mixed type

Michael (Misha) Bialy

arxiv:1204.4397 v1 · 2012-04-19 · math.AP · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDENNJTHGPYKFSV5VWHKWGEEGK}

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	2026-05-18T03:57:27.603139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8c8d6a66733f0a2cabdad8eab18843282cc9ffb073acfd80c70a600c1433ddd

Aliases

arxiv: 1204.4397 · arxiv_version: 1204.4397v1 · doi: 10.48550/arxiv.1204.4397 · pith_short_12: ZDENNJTHGPYK · pith_short_16: ZDENNJTHGPYKFSV5 · pith_short_8: ZDENNJTH

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/ZDENNJTHGPYKFSV5VWHKWGEEGK \
  | 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: c8c8d6a66733f0a2cabdad8eab18843282cc9ffb073acfd80c70a600c1433ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a5c85984c4161c6f3bd45d0daaaa9f192edaef3636cdadaaecd068608cdcb1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-19T16:09:15Z",
    "title_canon_sha256": "f03e8725959def049f6017c0f280d6a8c53bfd3e4852002f788e6ec7aa6e3cc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4397",
    "kind": "arxiv",
    "version": 1
  }
}