Pith Number

pith:PKLLDM4P

pith:2012:PKLLDM4PNYZS6HDHIHKP3HEUSI

not attested not anchored not stored refs pending

Eigenvalue gap theorems for a class of non symmetric elliptic operators on convex domains

Jon Wolfson

arxiv:1212.1669 v1 · 2012-12-07 · math.DG · 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{PKLLDM4PNYZS6HDHIHKP3HEUSI}

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	2026-05-18T03:38:56.661573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a96b1b38f6e332f1c6741d4fd9c9492035d6db9b48b281a61883e73551c985b

Aliases

arxiv: 1212.1669 · arxiv_version: 1212.1669v1 · doi: 10.48550/arxiv.1212.1669 · pith_short_12: PKLLDM4PNYZS · pith_short_16: PKLLDM4PNYZS6HDH · pith_short_8: PKLLDM4P

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/PKLLDM4PNYZS6HDHIHKP3HEUSI \
  | 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: 7a96b1b38f6e332f1c6741d4fd9c9492035d6db9b48b281a61883e73551c985b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a41104416e7590bc8ab64086e7f16297790f5fefdd53e2af49857806ce6e7a5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-07T18:07:54Z",
    "title_canon_sha256": "2d5f7fde79f5029d223e08aee5ec376c3981798c9f05ae86146fdf2a3790e040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1669",
    "kind": "arxiv",
    "version": 1
  }
}