Pith Number

pith:TVEIEWXB

pith:2014:TVEIEWXB2P5MUAVPLM6UQMXZLS

not attested not anchored not stored refs pending

A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings

Alexander Gorokhovsky, Hitoshi Moriyoshi, Paolo Piazza

arxiv:1410.6564 v2 · 2014-10-24 · math.DG · 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{TVEIEWXB2P5MUAVPLM6UQMXZLS}

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	2026-05-18T02:29:08.163631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d48825ae1d3faca02af5b3d4832f95cb1213b803efbdf2d30b7557d3fb67a17

Aliases

arxiv: 1410.6564 · arxiv_version: 1410.6564v2 · doi: 10.48550/arxiv.1410.6564 · pith_short_12: TVEIEWXB2P5M · pith_short_16: TVEIEWXB2P5MUAVP · pith_short_8: TVEIEWXB

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/TVEIEWXB2P5MUAVPLM6UQMXZLS \
  | 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: 9d48825ae1d3faca02af5b3d4832f95cb1213b803efbdf2d30b7557d3fb67a17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "374c11207c63f5afd79b35f55d6820a330e15ad7d9ba832791d7ed87b1a91460",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-24T04:01:05Z",
    "title_canon_sha256": "d1d90dd4f03142f8045b42fe4e53438bd9e159cbac3c5946e9bf8f8229cd333a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6564",
    "kind": "arxiv",
    "version": 2
  }
}