Pith Number

pith:VINMWPCI

pith:2016:VINMWPCIUNHOUMLA7S3VPHOMPK

not attested not anchored not stored refs pending

The asymptotics of the analytic torsion on CR manifolds with $S^1$ action

Chin-Yu Hsiao, Rung-Tzung Huang

arxiv:1605.07507 v1 · 2016-05-24 · math.DG · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VINMWPCIUNHOUMLA7S3VPHOMPK}

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	2026-05-18T01:13:45.888288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1acb3c48a34eea3160fcb7579dcc7ab947f03a5c3cdfb29c8f2d0c86c62885

Aliases

arxiv: 1605.07507 · arxiv_version: 1605.07507v1 · doi: 10.48550/arxiv.1605.07507 · pith_short_12: VINMWPCIUNHO · pith_short_16: VINMWPCIUNHOUMLA · pith_short_8: VINMWPCI

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/VINMWPCIUNHOUMLA7S3VPHOMPK \
  | 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: aa1acb3c48a34eea3160fcb7579dcc7ab947f03a5c3cdfb29c8f2d0c86c62885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc3368f793bbd566fb373232ffce812612ee377c6490457bcec134f3032f1cf",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-24T15:45:23Z",
    "title_canon_sha256": "3cdcea12e697e833a2a1e0e55524f7112b5f32790cea7196b0df9c779a9e78a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07507",
    "kind": "arxiv",
    "version": 1
  }
}