Pith Number

pith:KN2T2ZF3

pith:2014:KN2T2ZF3F6QRQXR6CRXFPACGXH

not attested not anchored not stored refs pending

The Completion Theorem in twisted equivariant $K$-Theory for proper and discrete actions

Mario Velasquez, Noe Barcenas

arxiv:1408.2404 v3 · 2014-08-11 · 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{KN2T2ZF3F6QRQXR6CRXFPACGXH}

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	2026-05-17T23:56:30.562063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53753d64bb2fa1185e3e146e578046b9c9476542cea7b5e02cf0aa582490c739

Aliases

arxiv: 1408.2404 · arxiv_version: 1408.2404v3 · doi: 10.48550/arxiv.1408.2404 · pith_short_12: KN2T2ZF3F6QR · pith_short_16: KN2T2ZF3F6QRQXR6 · pith_short_8: KN2T2ZF3

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/KN2T2ZF3F6QRQXR6CRXFPACGXH \
  | 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: 53753d64bb2fa1185e3e146e578046b9c9476542cea7b5e02cf0aa582490c739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "884950508a7352a3e61506d0d92ee94af83308421f2806894ca48a6019eb7f17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-08-11T13:54:12Z",
    "title_canon_sha256": "175497434cba84f288fbc664c511ba4fecc08672ab10b62f8c4c499ddef75a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2404",
    "kind": "arxiv",
    "version": 3
  }
}