Pith Number

pith:3HMBS74O

pith:2025:3HMBS74O44GA3WHZIESESC4XN4

not attested not anchored not stored refs pending

Combinatorics of affine cactus groups

Hugo Chemin

arxiv:2501.16270 v1 · 2025-01-27 · math.CO · 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{3HMBS74O44GA3WHZIESESC4XN4}

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	2026-07-05T10:05:57.781975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9d8197f8ee70c0dd8f94124490b976f3ce5ed26bb345767eb107f19e8c71a65

Aliases

arxiv: 2501.16270 · arxiv_version: 2501.16270v1 · doi: 10.48550/arxiv.2501.16270 · pith_short_12: 3HMBS74O44GA · pith_short_16: 3HMBS74O44GA3WHZ · pith_short_8: 3HMBS74O

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/3HMBS74O44GA3WHZIESESC4XN4 \
  | 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: d9d8197f8ee70c0dd8f94124490b976f3ce5ed26bb345767eb107f19e8c71a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54727096bb9f29819f8e657ea5dbc5c992ae5b43cfc543b37d05a6058e07cf5b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-27T18:04:48Z",
    "title_canon_sha256": "196251915f391f16a99545f6c729b13118b1d083f1cafb06350a043a2908620f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16270",
    "kind": "arxiv",
    "version": 1
  }
}