Pith Number

pith:KI7WSFFF

pith:2019:KI7WSFFFU5JDJQAJT44BERVPFQ

not attested not anchored not stored refs pending

Categorified Chern character and cyclic cohomology

Ilya Shapiro

arxiv:1904.04230 v1 · 2019-04-08 · math.KT · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KI7WSFFFU5JDJQAJT44BERVPFQ}

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	2026-05-17T23:49:06.702393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

523f6914a5a75234c0099f381246af2c3f71c9927c7643af283a6f7e19ff10ab

Aliases

arxiv: 1904.04230 · arxiv_version: 1904.04230v1 · doi: 10.48550/arxiv.1904.04230 · pith_short_12: KI7WSFFFU5JD · pith_short_16: KI7WSFFFU5JDJQAJ · pith_short_8: KI7WSFFF

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/KI7WSFFFU5JDJQAJT44BERVPFQ \
  | 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: 523f6914a5a75234c0099f381246af2c3f71c9927c7643af283a6f7e19ff10ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "016e08a4a8d9c855c1c67494bb3bc1913569f95bf73b23903bbf0422791bb073",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-04-08T17:57:04Z",
    "title_canon_sha256": "9a4a42e8bf735ee096fd904255b51289249b1ee6d361f4c69f6ce0d3348dfd11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04230",
    "kind": "arxiv",
    "version": 1
  }
}