Pith Number

pith:YRQGZFWG

pith:2021:YRQGZFWG6E44SUWK7MNAFDF4XL

not attested not anchored not stored refs pending

Constructing pseudo-Anosovs from expanding interval maps

Ethan Farber

arxiv:2101.01721 v3 · 2021-01-05 · math.DS · 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{YRQGZFWG6E44SUWK7MNAFDF4XL}

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	2026-07-05T03:57:39.692834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4606c96c6f139c952cafb1a028cbcbafee6c046e15b3cf79b6171f0c93d13e8

Aliases

arxiv: 2101.01721 · arxiv_version: 2101.01721v3 · doi: 10.48550/arxiv.2101.01721 · pith_short_12: YRQGZFWG6E44 · pith_short_16: YRQGZFWG6E44SUWK · pith_short_8: YRQGZFWG

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/YRQGZFWG6E44SUWK7MNAFDF4XL \
  | 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: c4606c96c6f139c952cafb1a028cbcbafee6c046e15b3cf79b6171f0c93d13e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2440220db80a15d1bd2f57989b48cd82a6bff105c75aadd8882e249c4461664d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-01-05T19:00:00Z",
    "title_canon_sha256": "01fa5f6e7d2539c3583ccb551b9cae8c44e8e8017fd9d6485da0b23f79994886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.01721",
    "kind": "arxiv",
    "version": 3
  }
}