Pith Number

pith:Z3B3JJQL

pith:2015:Z3B3JJQLA37VGD3F6MTXTFGNQO

not attested not anchored not stored refs pending

Weak containment rigidity for distal actions

Adrian Ioana, Robin Tucker-Drob

arxiv:1507.05357 v2 · 2015-07-20 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3B3JJQLA37VGD3F6MTXTFGNQO}

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	2026-05-18T01:10:18.367511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cec3b4a60b06ff530f65f3277994cd839dc4ee3e8b00bd3c16442bcbd02bbfd2

Aliases

arxiv: 1507.05357 · arxiv_version: 1507.05357v2 · doi: 10.48550/arxiv.1507.05357 · pith_short_12: Z3B3JJQLA37V · pith_short_16: Z3B3JJQLA37VGD3F · pith_short_8: Z3B3JJQL

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/Z3B3JJQLA37VGD3F6MTXTFGNQO \
  | 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: cec3b4a60b06ff530f65f3277994cd839dc4ee3e8b00bd3c16442bcbd02bbfd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dba181d5d6e31c3114e50c91c7781b3170f0af5b49bcf0d21b878f394af705a",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-20T00:33:05Z",
    "title_canon_sha256": "ffb872dcd51a0c7bffa372e236ad8e1a50d66e2ef6c7266e19f97644807f8fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05357",
    "kind": "arxiv",
    "version": 2
  }
}