Pith Number

pith:PVZ5WZRA

pith:2012:PVZ5WZRAKSDAC42DGREHPCI2RV

not attested not anchored not stored refs pending

New tensorial estimates in Besov spaces for time-dependent $(2 + 1)$-dimensional problems

Arick Shao

arxiv:1202.1295 v5 · 2012-02-06 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVZ5WZRAKSDAC42DGREHPCI2RV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:04:46.190356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d73db66205486017343344877891a8d4ded75b9df541dfe501f0677c9a4b62c

Aliases

arxiv: 1202.1295 · arxiv_version: 1202.1295v5 · doi: 10.48550/arxiv.1202.1295 · pith_short_12: PVZ5WZRAKSDA · pith_short_16: PVZ5WZRAKSDAC42D · pith_short_8: PVZ5WZRA

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/PVZ5WZRAKSDAC42DGREHPCI2RV \
  | 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: 7d73db66205486017343344877891a8d4ded75b9df541dfe501f0677c9a4b62c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77efb663b9a767f17968022492e7792ad8d0990f004e80441b455cc7e4c0362b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-06T21:16:38Z",
    "title_canon_sha256": "532a1dd419395df760dff9609ab6902fba2991a0dd54426a1004e88893389aea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1295",
    "kind": "arxiv",
    "version": 5
  }
}