Pith Number

pith:DOXX7DIV

pith:2010:DOXX7DIVATXNKMFALZ6F5DEUUI

not attested not anchored not stored refs pending

Group homology and ideal fundamental cycles

Thilo Kuessner

arxiv:1007.2680 v2 · 2010-07-15 · math.GT · 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{DOXX7DIVATXNKMFALZ6F5DEUUI}

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	2026-05-18T04:08:03.966844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1baf7f8d1504eed530a05e7c5e8c94a2126f99369556fb72db85a8df144a19da

Aliases

arxiv: 1007.2680 · arxiv_version: 1007.2680v2 · doi: 10.48550/arxiv.1007.2680 · pith_short_12: DOXX7DIVATXN · pith_short_16: DOXX7DIVATXNKMFA · pith_short_8: DOXX7DIV

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/DOXX7DIVATXNKMFALZ6F5DEUUI \
  | 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: 1baf7f8d1504eed530a05e7c5e8c94a2126f99369556fb72db85a8df144a19da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "509da11cf8c7125c91f76df3eda20ab40754635bf35a5711093c33ceffffd7e2",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-07-15T23:26:28Z",
    "title_canon_sha256": "c17e7a7a6e6c533eaeea9a2c5093ea783d28ad223e1c1b870aafbf9c8183f6b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2680",
    "kind": "arxiv",
    "version": 2
  }
}