Pith Number

pith:DJSI7T5M

pith:2016:DJSI7T5M7M7ZT5WZL5MWJCWBV3

not attested not anchored not stored refs pending

On Polya's inequality for torsional rigidity and first Dirichlet eigenvalue

C. Nitsch, C. Trombetti, M. van den Berg, V. Ferone

arxiv:1602.04618 v5 · 2016-02-15 · 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{DJSI7T5M7M7ZT5WZL5MWJCWBV3}

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	2026-05-18T00:47:38.292944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a648fcfacfb3f99f6d95f59648ac1aef739a92c7aa4870205d5902a821b428a

Aliases

arxiv: 1602.04618 · arxiv_version: 1602.04618v5 · doi: 10.48550/arxiv.1602.04618 · pith_short_12: DJSI7T5M7M7Z · pith_short_16: DJSI7T5M7M7ZT5WZ · pith_short_8: DJSI7T5M

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/DJSI7T5M7M7ZT5WZL5MWJCWBV3 \
  | 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: 1a648fcfacfb3f99f6d95f59648ac1aef739a92c7aa4870205d5902a821b428a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccbefe8e9116c437b664c2972e98c85ab00c82fe1feb93aa78688f26f4a4314b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-15T10:46:05Z",
    "title_canon_sha256": "23617ebbbcf596c3a3bb6e8a08e8ec233d1dfd67103302ebd70024b0aaa08897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04618",
    "kind": "arxiv",
    "version": 5
  }
}