Pith Number

pith:QOW4G5ES

pith:2014:QOW4G5ESJVLLX5JE3CJDFZKNK3

not attested not anchored not stored refs pending

Typical and atypical properties of periodic Teichmueller geodesics

Ursula Hamenstaedt

arxiv:1409.5978 v4 · 2014-09-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOW4G5ESJVLLX5JE3CJDFZKNK3}

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	2026-05-18T00:50:23.426635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83adc374924d56bbf524d89232e54d56ee3a0935739552c4768b2a5488f78e9c

Aliases

arxiv: 1409.5978 · arxiv_version: 1409.5978v4 · doi: 10.48550/arxiv.1409.5978 · pith_short_12: QOW4G5ESJVLL · pith_short_16: QOW4G5ESJVLLX5JE · pith_short_8: QOW4G5ES

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/QOW4G5ESJVLLX5JE3CJDFZKNK3 \
  | 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: 83adc374924d56bbf524d89232e54d56ee3a0935739552c4768b2a5488f78e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9988349e77107b8d1c1afd59822c087a5e4ee89a1a33dc2a12b13215da6ed13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-21T12:34:33Z",
    "title_canon_sha256": "02c9759ad42e16a67863a4cb69b297a9d65a710c59493ce46c02520b0d905165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5978",
    "kind": "arxiv",
    "version": 4
  }
}