Pith Number

pith:JLYDSWG3

pith:2021:JLYDSWG32FDVXB2LZRPCKZB2KB

not attested not anchored not stored refs pending

Sharp estimates for the Gaussian torsional rigidity with Robin boundary conditions

Carlo Nitsch, Cristina Trombetti, Francesco Chiacchio, Nunzia Gavitone

arxiv:2109.10117 v3 · 2021-09-21 · 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{JLYDSWG32FDVXB2LZRPCKZB2KB}

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	2026-07-05T03:24:31.617428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4af03958dbd1475b874bcc5e25643a504abb55e2a20d23fc5dcc6b399f5bdf4e

Aliases

arxiv: 2109.10117 · arxiv_version: 2109.10117v3 · doi: 10.48550/arxiv.2109.10117 · pith_short_12: JLYDSWG32FDV · pith_short_16: JLYDSWG32FDVXB2L · pith_short_8: JLYDSWG3

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/JLYDSWG32FDVXB2LZRPCKZB2KB \
  | 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: 4af03958dbd1475b874bcc5e25643a504abb55e2a20d23fc5dcc6b399f5bdf4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "061131a1b3d3fdb37097969e32f38b0234cca8dbc84e5efb761763a1f01b40e9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-21T12:00:04Z",
    "title_canon_sha256": "2e3c692dd138726bd0d7f481b77517ac800e2b3315cc2a496db91048dc74a809"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.10117",
    "kind": "arxiv",
    "version": 3
  }
}