Pith Number

pith:5XP5Y7M7

pith:2009:5XP5Y7M7OQWZEPLLOHPP3PTA7P

not attested not anchored not stored refs pending

On the Anomaly Formula for the Cappell-Miller Holomorphic Torsion

Bo Liu, Jianqing Yu

arxiv:0912.1401 v2 · 2009-12-08 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XP5Y7M7OQWZEPLLOHPP3PTA7P}

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	2026-05-18T02:39:24.532939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eddfdc7d9f742d923d6b71defdbe60fbebc8e0faa5dd5520282a7162d65ff2d6

Aliases

arxiv: 0912.1401 · arxiv_version: 0912.1401v2 · doi: 10.48550/arxiv.0912.1401 · pith_short_12: 5XP5Y7M7OQWZ · pith_short_16: 5XP5Y7M7OQWZEPLL · pith_short_8: 5XP5Y7M7

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/5XP5Y7M7OQWZEPLLOHPP3PTA7P \
  | 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: eddfdc7d9f742d923d6b71defdbe60fbebc8e0faa5dd5520282a7162d65ff2d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb34586c8467a360dab950f7b9561c694130ee08e47c877e057d61761bed607",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-08T04:07:36Z",
    "title_canon_sha256": "025e43c209e6605d381c45985b1eca70d06d4ca3c22039715ef64e0451741574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1401",
    "kind": "arxiv",
    "version": 2
  }
}