Pith Number

pith:CLRVXPES

pith:2026:CLRVXPESE55GHDPW33W3EO3DBN

not attested not anchored not stored refs pending

Quandle homology and relative group homology

Ayumu Inoue

arxiv:2607.00701 v1 · 2026-07-01 · math.GT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLRVXPESE55GHDPW33W3EO3DBN}

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	2026-07-02T01:17:52.040171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12e35bbc92277a638df6deedb23b630b4b996b721d949c95c67d11503d61ef64

Aliases

arxiv: 2607.00701 · arxiv_version: 2607.00701v1 · doi: 10.48550/arxiv.2607.00701 · pith_short_12: CLRVXPESE55G · pith_short_16: CLRVXPESE55GHDPW · pith_short_8: CLRVXPES

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/CLRVXPESE55GHDPW33W3EO3DBN \
  | 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: 12e35bbc92277a638df6deedb23b630b4b996b721d949c95c67d11503d61ef64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22bd89621396e653cd1c207a176a342dcb5b0e390231a178171d69ff578c016b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-01T09:50:27Z",
    "title_canon_sha256": "d3ee64f0246cdca03b1d7516d4a74f6d533bf372c36de303408c6a661e8c6d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00701",
    "kind": "arxiv",
    "version": 1
  }
}