Pith Number

pith:ANNUFFUR

pith:2009:ANNUFFUR6BKXAI4DX7PLI2N6JM

not attested not anchored not stored refs pending

Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods

D. Borisov, G. Cardone

arxiv:0910.3907 v2 · 2009-10-20 · 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{ANNUFFUR6BKXAI4DX7PLI2N6JM}

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	2026-05-18T04:03:32.722765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

035b429691f055702383bfdeb469be4b25e3858c9a6ae0b4df37c511843b1ac6

Aliases

arxiv: 0910.3907 · arxiv_version: 0910.3907v2 · doi: 10.48550/arxiv.0910.3907 · pith_short_12: ANNUFFUR6BKX · pith_short_16: ANNUFFUR6BKXAI4D · pith_short_8: ANNUFFUR

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/ANNUFFUR6BKXAI4DX7PLI2N6JM \
  | 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: 035b429691f055702383bfdeb469be4b25e3858c9a6ae0b4df37c511843b1ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee414d6de05c6eb1e52af66d93a9473067eb0ffb663ae8bf9ed0109ca3987261",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-10-20T16:47:28Z",
    "title_canon_sha256": "4794b30530af923c4aece56b4c732eecb25fdd31ee481cfebe9bab53305bdf76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3907",
    "kind": "arxiv",
    "version": 2
  }
}