Pith Number

pith:IFXBQ64L

pith:2013:IFXBQ64L46BDNO3QC2JJ4Y4OQH

not attested not anchored not stored refs pending

Positive scalar curvature, higher rho invariants and localization algebras

Guoliang Yu, Zhizhang Xie

arxiv:1302.4418 v4 · 2013-02-18 · math.KT · math.DG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFXBQ64L46BDNO3QC2JJ4Y4OQH}

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	2026-05-18T02:51:34.318235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

416e187b8be78236bb7016929e638e81f2c479d5ff5df03ad0eef6ffe74c1dc5

Aliases

arxiv: 1302.4418 · arxiv_version: 1302.4418v4 · doi: 10.48550/arxiv.1302.4418 · pith_short_12: IFXBQ64L46BD · pith_short_16: IFXBQ64L46BDNO3Q · pith_short_8: IFXBQ64L

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/IFXBQ64L46BDNO3QC2JJ4Y4OQH \
  | 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: 416e187b8be78236bb7016929e638e81f2c479d5ff5df03ad0eef6ffe74c1dc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa0fdefd95b9a74f22a673d23add94d796e8d30a4787c43ae25a9457c81bdcc",
    "cross_cats_sorted": [
      "math.DG",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-02-18T20:38:22Z",
    "title_canon_sha256": "1d302cb4cf881ace8af11a730ea397e04d470b9094c8452b68d24fbc41da0ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4418",
    "kind": "arxiv",
    "version": 4
  }
}