Pith Number

pith:OFDK7QLH

pith:2011:OFDK7QLHWOZHWDMESM4NOFTTUQ

not attested not anchored not stored refs pending

Spherical mean transform from the pde point of view

Linh V. Nguyen

arxiv:1201.0314 v1 · 2011-12-31 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFDK7QLHWOZHWDMESM4NOFTTUQ}

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	2026-05-18T04:05:25.509918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7146afc167b3b27b0d849338d71673a41ceca0841fc84e1ad25cf1559bc27501

Aliases

arxiv: 1201.0314 · arxiv_version: 1201.0314v1 · doi: 10.48550/arxiv.1201.0314 · pith_short_12: OFDK7QLHWOZH · pith_short_16: OFDK7QLHWOZHWDME · pith_short_8: OFDK7QLH

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/OFDK7QLHWOZHWDMESM4NOFTTUQ \
  | 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: 7146afc167b3b27b0d849338d71673a41ceca0841fc84e1ad25cf1559bc27501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b17bdb4e8365b19d82563817e181b13603f7e8d7458390d2ced1f5fd30419210",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-31T23:37:57Z",
    "title_canon_sha256": "33e47afd33830aab8ec74b0481eddc3205798d415275de8278f6a6eae3137be0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0314",
    "kind": "arxiv",
    "version": 1
  }
}