Pith Number

pith:OG75MSVR

pith:2011:OG75MSVRVR23N6BADJBPQA7DIH

not attested not anchored not stored refs pending

Optimal estimates from below for biharmonic Green functions

Fr\'ed\'eric Robert, Guido Sweers, Hans-Christoph Grunau

arxiv:1103.0651 v1 · 2011-03-03 · 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{OG75MSVRVR23N6BADJBPQA7DIH}

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	2026-05-18T04:27:27.586929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71bfd64ab1ac75b6f8201a42f803e341ce3eaa547afda37830e352e10d5d64ef

Aliases

arxiv: 1103.0651 · arxiv_version: 1103.0651v1 · doi: 10.48550/arxiv.1103.0651 · pith_short_12: OG75MSVRVR23 · pith_short_16: OG75MSVRVR23N6BA · pith_short_8: OG75MSVR

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/OG75MSVRVR23N6BADJBPQA7DIH \
  | 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: 71bfd64ab1ac75b6f8201a42f803e341ce3eaa547afda37830e352e10d5d64ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de16c532ee403c06d07288016034ad1fde36a76fd270a8de94e1d7641731eb4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-03T11:04:27Z",
    "title_canon_sha256": "3b3efb2a81a4f0c50a9b333e678aebf30f29f89c63014f716169a93b98a4b462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0651",
    "kind": "arxiv",
    "version": 1
  }
}