Pith Number

pith:4SSOSVZZ

pith:2014:4SSOSVZZQ3G7FJ7WJFZMTV6IPB

not attested not anchored not stored refs pending

Pseudo-Anosov stretch factors and homology of mapping tori

Christopher J. Leininger, Dan Margalit, Ian Agol

arxiv:1409.6983 v3 · 2014-09-24 · 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{4SSOSVZZQ3G7FJ7WJFZMTV6IPB}

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	2026-05-18T00:44:28.767954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4a4e9573986cdf2a7f64972c9d7c878744a4e2c646de73d342ad5278ad7d8d8

Aliases

arxiv: 1409.6983 · arxiv_version: 1409.6983v3 · doi: 10.48550/arxiv.1409.6983 · pith_short_12: 4SSOSVZZQ3G7 · pith_short_16: 4SSOSVZZQ3G7FJ7W · pith_short_8: 4SSOSVZZ

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/4SSOSVZZQ3G7FJ7WJFZMTV6IPB \
  | 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: e4a4e9573986cdf2a7f64972c9d7c878744a4e2c646de73d342ad5278ad7d8d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e42f69dffa0d2982b20f1f987803e72ef9b509cb4270346f96a953472fadec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-24T14:58:45Z",
    "title_canon_sha256": "111cd8ff1fbebb568985ecbc9659ba1ecacdc9775b4a2daff9f1fb08952df81b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6983",
    "kind": "arxiv",
    "version": 3
  }
}