Pith Number

pith:B2M4NI6A

pith:2013:B2M4NI6A6OBHVILHQGEOYROD7F

not attested not anchored not stored refs pending

Rates of mixing for the Weil-Petersson geodesic flow I: no rapid mixing in non-exceptional moduli spaces

Amie Wilkinson, Carlos Matheus, Howard Masur, Keith Burns

arxiv:1312.6012 v3 · 2013-12-20 · 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{B2M4NI6A6OBHVILHQGEOYROD7F}

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	2026-05-18T00:55:34.599160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e99c6a3c0f3827aa1678188ec45c3f962ed678d35513d4fa05a01691500cf88

Aliases

arxiv: 1312.6012 · arxiv_version: 1312.6012v3 · doi: 10.48550/arxiv.1312.6012 · pith_short_12: B2M4NI6A6OBH · pith_short_16: B2M4NI6A6OBHVILH · pith_short_8: B2M4NI6A

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/B2M4NI6A6OBHVILHQGEOYROD7F \
  | 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: 0e99c6a3c0f3827aa1678188ec45c3f962ed678d35513d4fa05a01691500cf88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ffb498d6f723bf0aa83423b172f7f4dac5981922d7cb8ea990fdb59702feb8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-20T16:19:09Z",
    "title_canon_sha256": "0c501dd57ffbbd73a0065046be9faa9e44aca41f0e89bc547df6e2c753822667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6012",
    "kind": "arxiv",
    "version": 3
  }
}