Pith Number

pith:MUG7XFJN

pith:2014:MUG7XFJNBMMUPAF3HENOQEKAWS

not attested not anchored not stored refs pending

Limits in PMF of Teichmuller geodesics

Howard Masur, Jon Chaika, Michael Wolf

arxiv:1406.0564 v1 · 2014-06-03 · 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{MUG7XFJNBMMUPAF3HENOQEKAWS}

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	2026-05-18T02:50:33.284504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650dfb952d0b194780bb391ae81140b4ba0c114590a8a33c2d7a3c45c1d7622b

Aliases

arxiv: 1406.0564 · arxiv_version: 1406.0564v1 · doi: 10.48550/arxiv.1406.0564 · pith_short_12: MUG7XFJNBMMU · pith_short_16: MUG7XFJNBMMUPAF3 · pith_short_8: MUG7XFJN

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/MUG7XFJNBMMUPAF3HENOQEKAWS \
  | 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: 650dfb952d0b194780bb391ae81140b4ba0c114590a8a33c2d7a3c45c1d7622b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb2e5b0b94038a066b2ad8822849728f5aeaafa61ce5b9fb3430cf4d1d632954",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-06-03T02:02:18Z",
    "title_canon_sha256": "fb89b678d579222641ff0c6a60fb77078d4c49eaa986dd70954ebb8d5fa1c496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0564",
    "kind": "arxiv",
    "version": 1
  }
}