Pith Number

pith:NG7HNGOB

pith:2005:NG7HNGOBBHOXOSIV73I7BSGN5G

not attested not anchored not stored refs pending

Tiling systems and homology of lattices in tree products

Guyan Robertson

arxiv:math/0511447 v1 · 2005-11-17 · 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{NG7HNGOBBHOXOSIV73I7BSGN5G}

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	2026-05-18T03:32:45.904385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69be7699c109dd774915fed1f0c8cde9a09d35d54ca971abf59e14b741887ce5

Aliases

arxiv: math/0511447 · arxiv_version: math/0511447v1 · doi: 10.48550/arxiv.math/0511447 · pith_short_12: NG7HNGOBBHOX · pith_short_16: NG7HNGOBBHOXOSIV · pith_short_8: NG7HNGOB

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/NG7HNGOBBHOXOSIV73I7BSGN5G \
  | 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: 69be7699c109dd774915fed1f0c8cde9a09d35d54ca971abf59e14b741887ce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a619f04cba4e4d6ecf2ecb439d0ce9067ef0459b574083d0ca8e8e20657259d",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2005-11-17T17:03:14Z",
    "title_canon_sha256": "765257e932040cb0a7de1b8d1a664e55cf0962c67abdf7b13672b3363ece943f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511447",
    "kind": "arxiv",
    "version": 1
  }
}