Pith Number

pith:GJZEV7NC

pith:2026:GJZEV7NCGCJXU6WQPZNE3KPO3E

not attested not anchored not stored refs pending

On the circle-equivariant cellular Tate filtration

Piotr Pstr\k{a}gowski, Toni Annala

arxiv:2608.09426 v1 · 2026-08-10 · 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{GJZEV7NCGCJXU6WQPZNE3KPO3E}

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	2026-08-11T02:22:34.912542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32724afda230937a7ad07e5a4da9eed91951fd91bae0493b4187cd94ed0bdac7

Aliases

arxiv: 2608.09426 · arxiv_version: 2608.09426v1 · doi: 10.48550/arxiv.2608.09426 · pith_short_12: GJZEV7NCGCJX · pith_short_16: GJZEV7NCGCJXU6WQ · pith_short_8: GJZEV7NC

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/GJZEV7NCGCJXU6WQPZNE3KPO3E \
  | 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: 32724afda230937a7ad07e5a4da9eed91951fd91bae0493b4187cd94ed0bdac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b76834d3e1a6cd9c3c7990fc5d3b4b1d2cab4b5b1a850a62bdf02557152ab420",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-08-10T10:53:26Z",
    "title_canon_sha256": "af048671c71dbfc96d28c627f9c652b51d5848306a03cf3c99a0e1923be8dbf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09426",
    "kind": "arxiv",
    "version": 1
  }
}