Pith Number

pith:XFT2C24B

pith:2011:XFT2C24BTB7P75PWPXM4XHOHVW

not attested not anchored not stored refs pending

Spectral and stochastic properties of the $f$-Laplacian, solutions of PDE's at infinity, and geometric applications

Alberto G. Setti, G. Pacelli Bessa, Stefano Pigola

arxiv:1107.1172 v2 · 2011-07-06 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFT2C24BTB7P75PWPXM4XHOHVW}

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	2026-05-18T03:49:22.295055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b967a16b81987efff5f67dd9cb9dc7adb78eaa79af98e0da7c5f78e58f2a505e

Aliases

arxiv: 1107.1172 · arxiv_version: 1107.1172v2 · doi: 10.48550/arxiv.1107.1172 · pith_short_12: XFT2C24BTB7P · pith_short_16: XFT2C24BTB7P75PW · pith_short_8: XFT2C24B

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/XFT2C24BTB7P75PWPXM4XHOHVW \
  | 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: b967a16b81987efff5f67dd9cb9dc7adb78eaa79af98e0da7c5f78e58f2a505e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9694ab7fb2634d02a8d1569943806e652fae2ee29f11dd713d27739241dbb122",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-06T16:01:50Z",
    "title_canon_sha256": "e2e67cbfbc0b57a5e80b22f7f342bbcfaea75c89d2339c028ca2ceed7838566b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1172",
    "kind": "arxiv",
    "version": 2
  }
}