Pith Number

pith:WUKIMLLK

pith:2012:WUKIMLLKMNAJG5DBFWLP2Y2TTU

not attested not anchored not stored refs pending

The comparison of two constructions of the refined analytic torsion on compact manifolds with boundary

Rung-Tzung Huang, Yoonweon Lee

arxiv:1208.1566 v1 · 2012-08-08 · 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{WUKIMLLKMNAJG5DBFWLP2Y2TTU}

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	2026-05-18T03:48:35.781353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b514862d6a63409374612d96fd63539d376ef0f4db4f865df6d26e5709a83484

Aliases

arxiv: 1208.1566 · arxiv_version: 1208.1566v1 · doi: 10.48550/arxiv.1208.1566 · pith_short_12: WUKIMLLKMNAJ · pith_short_16: WUKIMLLKMNAJG5DB · pith_short_8: WUKIMLLK

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/WUKIMLLKMNAJG5DBFWLP2Y2TTU \
  | 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: b514862d6a63409374612d96fd63539d376ef0f4db4f865df6d26e5709a83484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1082f4a74da3dc1fdbab43edaa58f9e8665a78e39b07ac987a7401cff4c11fb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-08-08T02:41:47Z",
    "title_canon_sha256": "44332ffefa2ee37c72d28575bfd0990d4d5fc284dfc4565de108ed6c4003942a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1566",
    "kind": "arxiv",
    "version": 1
  }
}