Pith Number

pith:W45IG56M

pith:2015:W45IG56MFI74VIEUMY5WUL4PD6

not attested not anchored not stored refs pending

Algebraic degrees of pseudo-Anosov stretch factors

Bal\'azs Strenner

arxiv:1506.06412 v6 · 2015-06-21 · 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{W45IG56MFI74VIEUMY5WUL4PD6}

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	2026-05-18T00:03:00.659301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b73a8377cc2a3fcaa094663b6a2f8f1f80fdbbe73da876710293ea82bd3acc72

Aliases

arxiv: 1506.06412 · arxiv_version: 1506.06412v6 · doi: 10.48550/arxiv.1506.06412 · pith_short_12: W45IG56MFI74 · pith_short_16: W45IG56MFI74VIEU · pith_short_8: W45IG56M

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/W45IG56MFI74VIEUMY5WUL4PD6 \
  | 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: b73a8377cc2a3fcaa094663b6a2f8f1f80fdbbe73da876710293ea82bd3acc72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c727e679747db0bc1675d7de308668022eb2b8ab6522b859f6aed1c63d1bd62c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-21T20:44:39Z",
    "title_canon_sha256": "65a1bdf0fa5d1911fb8ec85f03c419cf9fc681681df372d298fdce6b5794ce5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06412",
    "kind": "arxiv",
    "version": 6
  }
}