Pith. sign in
Pith Number

pith:Z2Z7YBBP

pith:2025:Z2Z7YBBPMLYWXRZ4LNCVQJY6OF
not attested not anchored not stored refs pending

Coarse cone quotients

Ulrich Bunke

arxiv:2507.01412 v2 · 2025-07-02 · math.AT · math.KT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z2Z7YBBPMLYWXRZ4LNCVQJY6OF}

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 2026-05-28T01:04:28.937569Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ceb3fc042f62f16bc73c5b4558271e716f2a9468e502525a574471967a84c262

Aliases

arxiv: 2507.01412 · arxiv_version: 2507.01412v2 · doi: 10.48550/arxiv.2507.01412 · pith_short_12: Z2Z7YBBPMLYW · pith_short_16: Z2Z7YBBPMLYWXRZ4 · pith_short_8: Z2Z7YBBP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z2Z7YBBPMLYWXRZ4LNCVQJY6OF \
  | 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: ceb3fc042f62f16bc73c5b4558271e716f2a9468e502525a574471967a84c262
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "100b2cd745f2bec81d38600909ed7a6d59f9b860455eabe2bde1e0cb2ce1aae0",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-07-02T07:05:27Z",
    "title_canon_sha256": "1797fb8b891b4cd88d9007b7889fb176a4839a946ce5d47a83b8b1492dca9477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01412",
    "kind": "arxiv",
    "version": 2
  }
}