Pith Number

pith:KE75IY45

pith:2014:KE75IY45YSK2ZGIYF2AQXKQDRI

not attested not anchored not stored refs pending

Equivariant Dirac operators and differentiable geometric invariant theory

Michele Vergne (IMJ), Paul-Emile Paradan (I3M)

arxiv:1411.7772 v3 · 2014-11-28 · math.DG · math.KT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KE75IY45YSK2ZGIYF2AQXKQDRI}

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	2026-05-18T01:23:58.751403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

513fd4639dc495ac99182e810baa038a05f350d6025f8218b3ef36874a443d90

Aliases

arxiv: 1411.7772 · arxiv_version: 1411.7772v3 · doi: 10.48550/arxiv.1411.7772 · pith_short_12: KE75IY45YSK2 · pith_short_16: KE75IY45YSK2ZGIY · pith_short_8: KE75IY45

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/KE75IY45YSK2ZGIYF2AQXKQDRI \
  | 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: 513fd4639dc495ac99182e810baa038a05f350d6025f8218b3ef36874a443d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d906ae8a0a13e5db6e5e49b39a6ad3d82cfb5575cfa41c1bba15992148540bc1",
    "cross_cats_sorted": [
      "math.KT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-28T07:44:35Z",
    "title_canon_sha256": "a7f4f5a153dff33bbaab2f104410f8d96a273d15b97ea85e2b1baf73ca67932b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7772",
    "kind": "arxiv",
    "version": 3
  }
}