Pith Number

pith:L2U2S3EK

pith:2013:L2U2S3EKSREH6L6ESTSKAINOZI

not attested not anchored not stored refs pending

A local equivariant index theorem for sub-signature operators

Jian Wang, Kaihua Bao, Yong Wang

arxiv:1312.3721 v1 · 2013-12-13 · 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{L2U2S3EKSREH6L6ESTSKAINOZI}

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	2026-05-18T03:04:47.828988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ea9a96c8a94487f2fc494e4a021aeca1be4f5550424db888f0572bb8d12ee65

Aliases

arxiv: 1312.3721 · arxiv_version: 1312.3721v1 · doi: 10.48550/arxiv.1312.3721 · pith_short_12: L2U2S3EKSREH · pith_short_16: L2U2S3EKSREH6L6E · pith_short_8: L2U2S3EK

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/L2U2S3EKSREH6L6ESTSKAINOZI \
  | 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: 5ea9a96c8a94487f2fc494e4a021aeca1be4f5550424db888f0572bb8d12ee65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176b0d1df463c7eccee70278cbafefc265951e49cf8bc4a4c063937fbefb7134",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-13T07:41:28Z",
    "title_canon_sha256": "d2e414436d3299d69b11acf168cab2cb1f0951d0a70b0a331c99994f67fefe47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3721",
    "kind": "arxiv",
    "version": 1
  }
}