Pith Number

pith:M47Q5MCX

pith:2019:M47Q5MCXFAFMZIHD2RZ6ZDRRKA

not attested not anchored not stored refs pending

Bent walls for random groups in the square and hexagonal model

Tomasz Odrzyg\'o\'zd\'z

arxiv:1906.05417 v2 · 2019-06-12 · 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{M47Q5MCXFAFMZIHD2RZ6ZDRRKA}

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	2026-05-17T23:42:41.374799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

673f0eb057280acca0e3d473ec8e315023d40933ed82e9a0de22d0e30bdf4857

Aliases

arxiv: 1906.05417 · arxiv_version: 1906.05417v2 · doi: 10.48550/arxiv.1906.05417 · pith_short_12: M47Q5MCXFAFM · pith_short_16: M47Q5MCXFAFMZIHD · pith_short_8: M47Q5MCX

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/M47Q5MCXFAFMZIHD2RZ6ZDRRKA \
  | 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: 673f0eb057280acca0e3d473ec8e315023d40933ed82e9a0de22d0e30bdf4857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f9712b231227a87578aec3b2214edacbafbee8586125b7f01fe3cdc515b69fb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-06-12T22:52:17Z",
    "title_canon_sha256": "394f0e319c83fd086b8eb1bb550430a1bbd1132abbec84f9d338bfccb1e4b70c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05417",
    "kind": "arxiv",
    "version": 2
  }
}