Pith Number

pith:26U5SQPX

pith:2011:26U5SQPXAHURG3AKYLYNI2KVJN

not attested not anchored not stored refs pending

Indecomposable $F_N$-trees and minimal laminations

Arnaud Hilion, Patrick Reynolds, Thierry Coulbois

arxiv:1110.3506 v1 · 2011-10-16 · math.GR · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26U5SQPXAHURG3AKYLYNI2KVJN}

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	2026-05-18T04:10:49.016607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a9d941f701e9136c0ac2f0d469554b4e7929f631a268c73f0adfdf687b4c98

Aliases

arxiv: 1110.3506 · arxiv_version: 1110.3506v1 · doi: 10.48550/arxiv.1110.3506 · pith_short_12: 26U5SQPXAHUR · pith_short_16: 26U5SQPXAHURG3AK · pith_short_8: 26U5SQPX

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/26U5SQPXAHURG3AKYLYNI2KVJN \
  | 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: d7a9d941f701e9136c0ac2f0d469554b4e7929f631a268c73f0adfdf687b4c98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c50ff5d38755aab046ae48842d89ba68eeee8e84e412e6854cf679ba37ad1a",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-10-16T17:45:33Z",
    "title_canon_sha256": "27572a7279cc486297dfc8fa51ac776a7ccc3d7cc3535bad5a3aa9614b1f713f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3506",
    "kind": "arxiv",
    "version": 1
  }
}