Pith Number

pith:VRWOUQGH

pith:2013:VRWOUQGHNSKUZDK3WHBPKKFJBY

not attested not anchored not stored refs pending

Pseudo-Anosov dilatations and the Johnson filtration

Andrew Putman, Justin Malestein

arxiv:1307.6226 v3 · 2013-07-23 · 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{VRWOUQGHNSKUZDK3WHBPKKFJBY}

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	2026-07-05T01:08:19.918571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6cea40c76c954c8d5bb1c2f528a90e11c595640f091661ae08a5b2b00f841d

Aliases

arxiv: 1307.6226 · arxiv_version: 1307.6226v3 · doi: 10.48550/arxiv.1307.6226 · pith_short_12: VRWOUQGHNSKU · pith_short_16: VRWOUQGHNSKUZDK3 · pith_short_8: VRWOUQGH

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/VRWOUQGHNSKUZDK3WHBPKKFJBY \
  | 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: ac6cea40c76c954c8d5bb1c2f528a90e11c595640f091661ae08a5b2b00f841d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed88903847e4edc402b5792aeea8724db94ddc9428456e86f7a5896faedd7a4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-23T20:07:34Z",
    "title_canon_sha256": "3f322a2f2c4d5b52527285008550bc4a08ad1690e59130a299d26eee8a86183e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6226",
    "kind": "arxiv",
    "version": 3
  }
}