Pith Number

pith:HJFZNYY6

pith:2011:HJFZNYY6T4YNR5IYGVD3DJQNTL

not attested not anchored not stored refs pending

Algebra properties for Sobolev spaces- Applications to semilinear PDE's on manifolds

Emmanuel Russ (LATP, Frederic Bernicot (LPP), If), Nadine Badr (ICJ)

arxiv:1107.3826 v1 · 2011-07-19 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJFZNYY6T4YNR5IYGVD3DJQNTL}

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	2026-05-18T04:17:15.851087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4b96e31e9f30d8f5183547b1a60d9acbcf088d60ede904adccdb0cf23592f7

Aliases

arxiv: 1107.3826 · arxiv_version: 1107.3826v1 · doi: 10.48550/arxiv.1107.3826 · pith_short_12: HJFZNYY6T4YN · pith_short_16: HJFZNYY6T4YNR5IY · pith_short_8: HJFZNYY6

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/HJFZNYY6T4YNR5IYGVD3DJQNTL \
  | 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: 3a4b96e31e9f30d8f5183547b1a60d9acbcf088d60ede904adccdb0cf23592f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7085379b386a7375997d47dca143b14a8a86c18cde693c6059dec727e1178658",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-07-19T19:45:32Z",
    "title_canon_sha256": "a343fb23782f7d29acf3d8b79db1e7c965c5b6630f7905f2488fdc302912db7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3826",
    "kind": "arxiv",
    "version": 1
  }
}