Pith Number

pith:NI6ILQ6P

pith:2013:NI6ILQ6PHRMPMNJUVRHNH4Q5IT

not attested not anchored not stored refs pending

Group actions with commensurated subsets, wallings and cubings

Yves Cornulier

arxiv:1302.5982 v2 · 2013-02-25 · math.GR · 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{NI6ILQ6PHRMPMNJUVRHNH4Q5IT}

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	2026-05-18T01:09:07.360448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a3c85c3cf3c58f63534ac4ed3f21d44dc58ec0ec24c95f6bea9067a776d92fd

Aliases

arxiv: 1302.5982 · arxiv_version: 1302.5982v2 · doi: 10.48550/arxiv.1302.5982 · pith_short_12: NI6ILQ6PHRMP · pith_short_16: NI6ILQ6PHRMPMNJU · pith_short_8: NI6ILQ6P

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/NI6ILQ6PHRMPMNJUVRHNH4Q5IT \
  | 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: 6a3c85c3cf3c58f63534ac4ed3f21d44dc58ec0ec24c95f6bea9067a776d92fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eec85f329eee8959e19987e4291b8c1619594ac90b3e31578a5ba06fab58720d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-25T02:48:10Z",
    "title_canon_sha256": "bf750b195f7802c4721d7e8358169968cd515d3810037f6308d527b3418de390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5982",
    "kind": "arxiv",
    "version": 2
  }
}