Pith Number

pith:VBQP3TFR

pith:2011:VBQP3TFRCJ535OIPZSXYQUNKAW

not attested not anchored not stored refs pending

The Semi-linear Torsional Rigidity on a Complete Riemannian Two-Manifold

Jie Xiao

arxiv:1104.4562 v1 · 2011-04-23 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBQP3TFRCJ535OIPZSXYQUNKAW}

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	2026-05-18T04:23:33.869680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a860fdccb1127bbeb90fccaf8851aa05afe26c32ef7f18ac194e94a86c1889db

Aliases

arxiv: 1104.4562 · arxiv_version: 1104.4562v1 · doi: 10.48550/arxiv.1104.4562 · pith_short_12: VBQP3TFRCJ53 · pith_short_16: VBQP3TFRCJ535OIP · pith_short_8: VBQP3TFR

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/VBQP3TFRCJ535OIPZSXYQUNKAW \
  | 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: a860fdccb1127bbeb90fccaf8851aa05afe26c32ef7f18ac194e94a86c1889db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c41b75aa6938d59bd0aa4c6b75741fe6b17ea22105b4716ec595ddfaa69126",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-23T14:23:14Z",
    "title_canon_sha256": "a1666ee61d585635515c865b33620e9a405e94668289d5f96d6652414c3e507a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4562",
    "kind": "arxiv",
    "version": 1
  }
}