Pith Number

pith:ZLS6VDKI

pith:2007:ZLS6VDKINX4LGKC6HUKM5T4542

not attested not anchored not stored refs pending

Dynamics of shear homeomorphisms of tori and the Bestvina-Handel algorithm

Bronislaw Wajnryb, Tali Pinsky

arxiv:0704.1272 v3 · 2007-04-10 · 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{ZLS6VDKINX4LGKC6HUKM5T4542}

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	2026-05-18T04:07:07.022889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cae5ea8d486df8b3285e3d14cecf9de685e86d5d1579311b83f494e411c1958b

Aliases

arxiv: 0704.1272 · arxiv_version: 0704.1272v3 · doi: 10.48550/arxiv.0704.1272 · pith_short_12: ZLS6VDKINX4L · pith_short_16: ZLS6VDKINX4LGKC6 · pith_short_8: ZLS6VDKI

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/ZLS6VDKINX4LGKC6HUKM5T4542 \
  | 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: cae5ea8d486df8b3285e3d14cecf9de685e86d5d1579311b83f494e411c1958b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b5131609edda5cf4021e02f3277091d88c08cd74521db4a6a4c8416d3748507",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-04-10T16:56:50Z",
    "title_canon_sha256": "06071189705a46e1e7530cad11d160ef5762c907c940d6c78933c4f42997f73c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1272",
    "kind": "arxiv",
    "version": 3
  }
}