Pith Number

pith:VO263OHA

pith:2015:VO263OHAOQZW2S3A6YCFZBGSJR

not attested not anchored not stored refs pending

Pseudo-Anosovs optimizing the ratio of Teichm\"uller to curve graph translation length

Samuel J. Taylor, Tarik Aougab

arxiv:1510.00995 v1 · 2015-10-04 · 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{VO263OHAOQZW2S3A6YCFZBGSJR}

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	2026-05-18T01:31:05.042670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abb5edb8e074336d4b60f6045c84d24c680e3a7f536e542582102af4ff79078e

Aliases

arxiv: 1510.00995 · arxiv_version: 1510.00995v1 · doi: 10.48550/arxiv.1510.00995 · pith_short_12: VO263OHAOQZW · pith_short_16: VO263OHAOQZW2S3A · pith_short_8: VO263OHA

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/VO263OHAOQZW2S3A6YCFZBGSJR \
  | 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: abb5edb8e074336d4b60f6045c84d24c680e3a7f536e542582102af4ff79078e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b8be577d8db9e41b2233e9ca5ecc77b795ddc38c353c9f428fbef588526c322",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-04T23:07:21Z",
    "title_canon_sha256": "e4f8663d656a8bffc25ed09763a8cd338213c022545d9e450fb4ae44be1237bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00995",
    "kind": "arxiv",
    "version": 1
  }
}