Pith Number

pith:VR72SJEE

pith:2014:VR72SJEEYSQXXUPO3JWMA7QFG4

not attested not anchored not stored refs pending

Uniform bounds for diffeomorphisms of the torus and a conjecture of P. Boyland

Salvador Addas-Zanata

arxiv:1403.7533 v3 · 2014-03-28 · 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{VR72SJEEYSQXXUPO3JWMA7QFG4}

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	2026-05-18T01:53:09.499519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7fa92484c4a17bd1eeda6cc07e0537193a973128319f27656db2179758b6f0

Aliases

arxiv: 1403.7533 · arxiv_version: 1403.7533v3 · doi: 10.48550/arxiv.1403.7533 · pith_short_12: VR72SJEEYSQX · pith_short_16: VR72SJEEYSQXXUPO · pith_short_8: VR72SJEE

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/VR72SJEEYSQXXUPO3JWMA7QFG4 \
  | 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: ac7fa92484c4a17bd1eeda6cc07e0537193a973128319f27656db2179758b6f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9dbef48775d64daccf879533a1133849ea8ade6af37edde1851f46ff1b711f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-03-28T20:15:07Z",
    "title_canon_sha256": "d0676a8536122dd3d58dc07e0d085ad023cca9ad8252b1e296f7955f4384c222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7533",
    "kind": "arxiv",
    "version": 3
  }
}