Pith Number

pith:33KLWWOB

pith:2025:33KLWWOB4MOQD6VDKLKVXKFY57

not attested not anchored not stored refs pending

Branched coarse coverings and transfer maps

Ulrich Bunke

arxiv:2502.01497 v3 · 2025-02-03 · math.AT · 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{33KLWWOB4MOQD6VDKLKVXKFY57}

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.

Cited by

1 paper in Pith

Coarse cone quotients

Receipt and verification

First computed	2026-07-05T11:31:42.908013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded4bb59c1e31d01faa352d55ba8b8efcadf95048b7f07942bc1af618cf591a1

Aliases

arxiv: 2502.01497 · arxiv_version: 2502.01497v3 · doi: 10.48550/arxiv.2502.01497 · pith_short_12: 33KLWWOB4MOQ · pith_short_16: 33KLWWOB4MOQD6VD · pith_short_8: 33KLWWOB

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/33KLWWOB4MOQD6VDKLKVXKFY57 \
  | 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: ded4bb59c1e31d01faa352d55ba8b8efcadf95048b7f07942bc1af618cf591a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c13bcf23062d8350a4559aee5544e78035097e96919a5642fe7f5485ded1aef5",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-02-03T16:28:53Z",
    "title_canon_sha256": "188723ac0cdce4c3949496be6a1982e38fe7d5470ec839a5cb33bc39928c313c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01497",
    "kind": "arxiv",
    "version": 3
  }
}