Pith Number

pith:B56G2KEU

pith:2014:B56G2KEUT64IPB33VF52QXXYPG

not attested not anchored not stored refs pending

Rotational component spaces for infinite-type translation surfaces

Anja Randecker, Chenxi Wu, Lucien Clavier

arxiv:1412.0633 v4 · 2014-12-01 · 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{B56G2KEUT64IPB33VF52QXXYPG}

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	2026-05-18T00:08:27.443416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f7c6d28949fb887877ba97ba85ef8799eb00f05af77b09d567b70a6519e13b6

Aliases

arxiv: 1412.0633 · arxiv_version: 1412.0633v4 · doi: 10.48550/arxiv.1412.0633 · pith_short_12: B56G2KEUT64I · pith_short_16: B56G2KEUT64IPB33 · pith_short_8: B56G2KEU

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/B56G2KEUT64IPB33VF52QXXYPG \
  | 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: 0f7c6d28949fb887877ba97ba85ef8799eb00f05af77b09d567b70a6519e13b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a207af866af58607b675ecd21face6c5e9a3e3d10652d8b9691058e801501d1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-01T20:26:53Z",
    "title_canon_sha256": "accc028d1e13b5d50f52bfc47502afa7a685da6bbe39b72351d5522c5dcdee85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0633",
    "kind": "arxiv",
    "version": 4
  }
}