Pith Number

pith:WPLJCWGY

pith:2014:WPLJCWGYEKWWH72P4H6UXJRHRC

not attested not anchored not stored refs pending

The multiplicities of the equivariant index of twisted Dirac operators

Mich\`ele Vergne (IMJ), Paul-Emile Paradan (I3M)

arxiv:1404.2003 v1 · 2014-04-08 · math.SG · 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{WPLJCWGYEKWWH72P4H6UXJRHRC}

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	2026-05-18T02:54:38.780023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d69158d822ad63ff4fe1fd4ba62788a9f3fef148ae400c32d93454af227898

Aliases

arxiv: 1404.2003 · arxiv_version: 1404.2003v1 · doi: 10.48550/arxiv.1404.2003 · pith_short_12: WPLJCWGYEKWW · pith_short_16: WPLJCWGYEKWWH72P · pith_short_8: WPLJCWGY

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/WPLJCWGYEKWWH72P4H6UXJRHRC \
  | 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: b3d69158d822ad63ff4fe1fd4ba62788a9f3fef148ae400c32d93454af227898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc1937b75e88a065c4f2c76892ea0169056abb341097189f4f2485ba4fa86c0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-04-08T03:56:55Z",
    "title_canon_sha256": "d86250d0bea631ef3ac4f5be2b521a2cea1a604848344397eeb66a439dd0809c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2003",
    "kind": "arxiv",
    "version": 1
  }
}