Pith Number

pith:NFBLS5XJ

pith:2011:NFBLS5XJFTDM3CQKYFFVCLTLG7

not attested not anchored not stored refs pending

Modified Curvatures on Manifolds with Boundary and Applications

Feng-Yu Wang

arxiv:1102.3552 v1 · 2011-02-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFBLS5XJFTDM3CQKYFFVCLTLG7}

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	2026-05-18T04:28:28.860872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6942b976e92cc6cd8a0ac14b512e6b37c76564f5daf8e0a52d1e57ed193b6d62

Aliases

arxiv: 1102.3552 · arxiv_version: 1102.3552v1 · doi: 10.48550/arxiv.1102.3552 · pith_short_12: NFBLS5XJFTDM · pith_short_16: NFBLS5XJFTDM3CQK · pith_short_8: NFBLS5XJ

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/NFBLS5XJFTDM3CQKYFFVCLTLG7 \
  | 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: 6942b976e92cc6cd8a0ac14b512e6b37c76564f5daf8e0a52d1e57ed193b6d62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb071931b48f71544abbfbbbecac2e66cc49165525a039d1085de395e4eb1271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-17T10:29:33Z",
    "title_canon_sha256": "f286c00284e0b7e84db2b931e67bb07c951c3f30a63b01d8b2d6d2a0e779a719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3552",
    "kind": "arxiv",
    "version": 1
  }
}