Pith Number

pith:MZMWJXDG

pith:2017:MZMWJXDGLKVO2PIPNGTY5C7GOC

not attested not anchored not stored refs pending

Non-commutative analytic torsion form on the transformation groupoid convolution algebra

Bing Kwan So, Guangxiang Su

arxiv:1701.04513 v2 · 2017-01-17 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZMWJXDGLKVO2PIPNGTY5C7GOC}

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	2026-05-18T00:52:33.700146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

665964dc665aaaed3d0f69a78e8be6708313253671f7cb3875c4273bc41f1d67

Aliases

arxiv: 1701.04513 · arxiv_version: 1701.04513v2 · doi: 10.48550/arxiv.1701.04513 · pith_short_12: MZMWJXDGLKVO · pith_short_16: MZMWJXDGLKVO2PIP · pith_short_8: MZMWJXDG

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/MZMWJXDGLKVO2PIPNGTY5C7GOC \
  | 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: 665964dc665aaaed3d0f69a78e8be6708313253671f7cb3875c4273bc41f1d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68d831bc24e9165cf59685e6714b40a67c99d8c6310c536fd402fe73afa8808b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-17T02:33:24Z",
    "title_canon_sha256": "45a7ce3b0406de5546206d179024d1f49b812f6451ad1d810bef89b1a838ef53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04513",
    "kind": "arxiv",
    "version": 2
  }
}