Pith Number

pith:C7FP2M5M

pith:2023:C7FP2M5MZPA4MHHXBIA4U477CE

not attested not anchored not stored refs pending

The moduli space of cactus flower curves and the virtual cactus group

Aleksei Ilin, Joel Kamnitzer, Leonid Rybnikov, Piotr Przytycki, Yu Li

arxiv:2308.06880 v2 · 2023-08-14 · math.AG · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7FP2M5MZPA4MHHXBIA4U477CE}

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	2026-07-05T08:20:23.930300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17cafd33accbc1c61cf70a01ca73ff1114eb73e26a52a749213eeee00a1aa8f4

Aliases

arxiv: 2308.06880 · arxiv_version: 2308.06880v2 · doi: 10.48550/arxiv.2308.06880 · pith_short_12: C7FP2M5MZPA4 · pith_short_16: C7FP2M5MZPA4MHHX · pith_short_8: C7FP2M5M

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/C7FP2M5MZPA4MHHXBIA4U477CE \
  | 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: 17cafd33accbc1c61cf70a01ca73ff1114eb73e26a52a749213eeee00a1aa8f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1620f49d1af094e30e65d4b19094e5540e977990715779e9bc48e0e78f3c7d0",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-08-14T01:25:44Z",
    "title_canon_sha256": "538e1a1d309565c2931c70ad9942a30e88155faab69f92ce2b334bcc234a48e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.06880",
    "kind": "arxiv",
    "version": 2
  }
}