Pith Number

pith:2TTFIB2N

pith:2008:2TTFIB2N7QZA3K7KOP4FMCZVH6

not attested not anchored not stored refs pending

Stability estimates for resolvents, eigenvalues and eigenfunctions of elliptic operators on variable domains

G. Barbatis, P.D. Lamberti, V.I. Burenkov

arxiv:0810.3823 v2 · 2008-10-21 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TTFIB2N7QZA3K7KOP4FMCZVH6}

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	2026-05-18T04:32:20.147739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4e654074dfc320dabea73f8560b353fb97648d5f55b0c47fc1b339285f74cdb

Aliases

arxiv: 0810.3823 · arxiv_version: 0810.3823v2 · doi: 10.48550/arxiv.0810.3823 · pith_short_12: 2TTFIB2N7QZA · pith_short_16: 2TTFIB2N7QZA3K7K · pith_short_8: 2TTFIB2N

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/2TTFIB2N7QZA3K7KOP4FMCZVH6 \
  | 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: d4e654074dfc320dabea73f8560b353fb97648d5f55b0c47fc1b339285f74cdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07850e913fa2d31e203aef087c91a5ee2bf03f266a49423e653d81e4a4227fad",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-10-21T13:26:15Z",
    "title_canon_sha256": "91a1f2c3d29aa32bb0851fa115ac4cc0ea77929eaf5280ef82707a9aa6889543"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3823",
    "kind": "arxiv",
    "version": 2
  }
}