Pith Number

pith:KPQQGWH4

pith:2023:KPQQGWH45T7V74SSRK54SA5WM2

not attested not anchored not stored refs pending

Perfect even modules and the even filtration

Piotr Pstr\k{a}gowski

arxiv:2304.04685 v2 · 2023-04-10 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPQQGWH45T7V74SSRK54SA5WM2}

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	2026-07-05T09:24:50.824489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53e10358fcecff5ff2528abbc903b666abad1c80711ebf9b8cfdd9f2dfb1d594

Aliases

arxiv: 2304.04685 · arxiv_version: 2304.04685v2 · doi: 10.48550/arxiv.2304.04685 · pith_short_12: KPQQGWH45T7V · pith_short_16: KPQQGWH45T7V74SS · pith_short_8: KPQQGWH4

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/KPQQGWH45T7V74SSRK54SA5WM2 \
  | 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: 53e10358fcecff5ff2528abbc903b666abad1c80711ebf9b8cfdd9f2dfb1d594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc9307d48123128e3e1faabacaa05fc212d29515c93060f586123c51fe1fe3e",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-04-10T16:03:31Z",
    "title_canon_sha256": "d1900d6ce73a613a6e93ecd95c86c6e4395a8a353b0ffb3cfb09642de17a7598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.04685",
    "kind": "arxiv",
    "version": 2
  }
}