Pith Number

pith:5TQTM7J2

pith:2010:5TQTM7J2D5DDXUYBIKG6SFJ4O3

not attested not anchored not stored refs pending

Dilatation versus self-intersection number for point-pushing pseudo-Anosov homeomorphisms

Spencer Dowdall

arxiv:1004.3936 v3 · 2010-04-22 · math.GT · 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{5TQTM7J2D5DDXUYBIKG6SFJ4O3}

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	2026-05-18T04:07:06.847209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece1367d3a1f463bd301428de9153c76f96e10fe55daef675cb483a882453f43

Aliases

arxiv: 1004.3936 · arxiv_version: 1004.3936v3 · doi: 10.48550/arxiv.1004.3936 · pith_short_12: 5TQTM7J2D5DD · pith_short_16: 5TQTM7J2D5DDXUYB · pith_short_8: 5TQTM7J2

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/5TQTM7J2D5DDXUYBIKG6SFJ4O3 \
  | 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: ece1367d3a1f463bd301428de9153c76f96e10fe55daef675cb483a882453f43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d01102957c963d312944cbb4025aa7a2a1f0681b14be0513b25a523a0734f6a2",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-04-22T14:49:28Z",
    "title_canon_sha256": "038c4da495ee5da884b027ae5d7ee820c548e225da666461273274d69428535f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3936",
    "kind": "arxiv",
    "version": 3
  }
}