Pith Number

pith:BIDMIZKV

pith:2012:BIDMIZKVRCE7N6XAGOSFDIM6MU

not attested not anchored not stored refs pending

The Gel'fand problem for the biharmonic operator

Guillaume Warnault (LMA-PAU), Louis Dupaigne (LAMFA), Marius Ghergu, Olivier Goubet (LAMFA)

arxiv:1207.3645 v2 · 2012-07-16 · 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{BIDMIZKVRCE7N6XAGOSFDIM6MU}

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	2026-05-18T01:56:18.132737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a06c465558889f6fae033a451a19e6507d14f629d73063d114d372474832e17

Aliases

arxiv: 1207.3645 · arxiv_version: 1207.3645v2 · doi: 10.48550/arxiv.1207.3645 · pith_short_12: BIDMIZKVRCE7 · pith_short_16: BIDMIZKVRCE7N6XA · pith_short_8: BIDMIZKV

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/BIDMIZKVRCE7N6XAGOSFDIM6MU \
  | 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: 0a06c465558889f6fae033a451a19e6507d14f629d73063d114d372474832e17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "144e6cbf34ba54ea2c1b0e29d092311902e77da012bdc28e48ed8e23c85a4111",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-16T12:13:23Z",
    "title_canon_sha256": "b8cc50dff071c648803f7808772a78e3715d0ba7e6bc7895a81fa313bf714fca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3645",
    "kind": "arxiv",
    "version": 2
  }
}