Pith Number

pith:WWCLKQO2

pith:2015:WWCLKQO2F23U754H5M7AWOLQ2Q

not attested not anchored not stored refs pending

Slow north-south dynamics on $\mathcal{PML}$

Mark C. Bell, Saul Schleimer

arxiv:1512.00829 v2 · 2015-12-02 · 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{WWCLKQO2F23U754H5M7AWOLQ2Q}

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	2026-05-18T01:15:06.488448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b584b541da2eb74ff787eb3e0b3970d4186d4c817ceef007733d454d28a1bba6

Aliases

arxiv: 1512.00829 · arxiv_version: 1512.00829v2 · doi: 10.48550/arxiv.1512.00829 · pith_short_12: WWCLKQO2F23U · pith_short_16: WWCLKQO2F23U754H · pith_short_8: WWCLKQO2

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/WWCLKQO2F23U754H5M7AWOLQ2Q \
  | 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: b584b541da2eb74ff787eb3e0b3970d4186d4c817ceef007733d454d28a1bba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59717a3daf1ce1352cd6fa9df75b4dcf06ea7568e0090358a92502d327276cc3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-02T20:16:09Z",
    "title_canon_sha256": "b4d324ac52c6fe34f5c207b6f200b0f8c535306498d0b3612a765d8a80698fb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00829",
    "kind": "arxiv",
    "version": 2
  }
}