Pith Number

pith:ZG52GUHP

pith:2016:ZG52GUHPSSX4BDD2QHKHEK7CB2

not attested not anchored not stored refs pending

Group orderings, dynamics, and rigidity

Cristobal Rivas, Kathryn Mann

arxiv:1607.00054 v3 · 2016-06-30 · math.DS · 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{ZG52GUHPSSX4BDD2QHKHEK7CB2}

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	2026-05-18T00:40:24.231431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9bba350ef94afc08c7a81d4722be20e81935e9e3240fc37207ea786bb945ba1

Aliases

arxiv: 1607.00054 · arxiv_version: 1607.00054v3 · doi: 10.48550/arxiv.1607.00054 · pith_short_12: ZG52GUHPSSX4 · pith_short_16: ZG52GUHPSSX4BDD2 · pith_short_8: ZG52GUHP

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/ZG52GUHPSSX4BDD2QHKHEK7CB2 \
  | 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: c9bba350ef94afc08c7a81d4722be20e81935e9e3240fc37207ea786bb945ba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa5f2448297c4870536f681fe36b178c90ee693f50d37277a63dfad04c64c4e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-06-30T21:33:04Z",
    "title_canon_sha256": "8231053c5a910ef19e5a3c8f2816312f8ff611b0cb73fd931c99407f1104cd5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00054",
    "kind": "arxiv",
    "version": 3
  }
}