Pith Number

pith:KHCQYQEG

pith:2010:KHCQYQEGCORSBL5A4645WNPADJ

not attested not anchored not stored refs pending

The refined analytic torsion and a well-posed boundary condition for the odd signature operator

Rung-Tzung Huang, Yoonweon Lee

arxiv:1004.1753 v2 · 2010-04-11 · 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{KHCQYQEGCORSBL5A4645WNPADJ}

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	2026-05-18T00:36:14.816766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c50c408613a320afa0e7b9db35e01a5c3187cb9b754c08e92372e5ecbd72b8

Aliases

arxiv: 1004.1753 · arxiv_version: 1004.1753v2 · doi: 10.48550/arxiv.1004.1753 · pith_short_12: KHCQYQEGCORS · pith_short_16: KHCQYQEGCORSBL5A · pith_short_8: KHCQYQEG

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/KHCQYQEGCORSBL5A4645WNPADJ \
  | 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: 51c50c408613a320afa0e7b9db35e01a5c3187cb9b754c08e92372e5ecbd72b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ae6777e8d165e6f75be4a2fa2530d43f7e0c2f23c696c4b9023cf7c02b91b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-04-11T00:32:06Z",
    "title_canon_sha256": "7804dc6437e1e5dc084555cc0b51c7db8b93efd844f9a8c65a19ead0e18a4599"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1753",
    "kind": "arxiv",
    "version": 2
  }
}