Pith Number

pith:4VIFT4VX

pith:2014:4VIFT4VXAQMX67ZRNMQUPSF2PR

not attested not anchored not stored refs pending

An equivariant index theorem for hypoelliptic operators

Denis Perrot, Rudy Rodsphon

arxiv:1412.5042 v2 · 2014-12-16 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VIFT4VXAQMX67ZRNMQUPSF2PR}

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.

Cited by

1 paper in Pith

Elliptic Boundary Value Problems and Partial Group Actions

Receipt and verification

First computed	2026-05-18T00:55:34.527063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55059f2b704197f7f316b2147c8ba7c7ae25bdf451773096d6355750c2ae73c

Aliases

arxiv: 1412.5042 · arxiv_version: 1412.5042v2 · doi: 10.48550/arxiv.1412.5042 · pith_short_12: 4VIFT4VXAQMX · pith_short_16: 4VIFT4VXAQMX67ZR · pith_short_8: 4VIFT4VX

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/4VIFT4VXAQMX67ZRNMQUPSF2PR \
  | 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: e55059f2b704197f7f316b2147c8ba7c7ae25bdf451773096d6355750c2ae73c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36bedec29be8fa56eb250d28da4f54adc855c4c000cfd918f6782a8f8ed1585d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-12-16T15:24:15Z",
    "title_canon_sha256": "36cfccae1f385bdb452ab2cdb2e799acd835bbbece576b6b22c211668c0934ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5042",
    "kind": "arxiv",
    "version": 2
  }
}