Pith Number

pith:MTPQQFN2

pith:2019:MTPQQFN2BK6KN4AM64WFBH4ISC

not attested not anchored not stored refs pending

Delocalized eta invariants, cyclic cohomology and higher rho invariants

Guoliang Yu, Jinmin Wang, Xiaoman Chen, Zhizhang Xie

arxiv:1901.02378 v2 · 2019-01-07 · math.KT · 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{MTPQQFN2BK6KN4AM64WFBH4ISC}

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	2026-05-17T23:44:42.680546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64df0815ba0abca6f00cf72c509f8890b636b47881c20d33599aa1fd85adb3fb

Aliases

arxiv: 1901.02378 · arxiv_version: 1901.02378v2 · doi: 10.48550/arxiv.1901.02378 · pith_short_12: MTPQQFN2BK6K · pith_short_16: MTPQQFN2BK6KN4AM · pith_short_8: MTPQQFN2

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/MTPQQFN2BK6KN4AM64WFBH4ISC \
  | 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: 64df0815ba0abca6f00cf72c509f8890b636b47881c20d33599aa1fd85adb3fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "556d99beba6c57311e4e526073bf6d875c2c406fd44b2c7b156745e57ffaedc8",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-01-07T18:46:12Z",
    "title_canon_sha256": "85aeccc6f4c374380e022f2649dd8653de9d1bb8aea9fa990d89764940eac050"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02378",
    "kind": "arxiv",
    "version": 2
  }
}