Pith Number

pith:JPAZITJH

pith:2011:JPAZITJHXZ2EKR43QFDUPZ2LDJ

not attested not anchored not stored refs pending

On the number and location of short geodesics in moduli space

Christopher J. Leininger, Dan Margalit

arxiv:1110.6434 v1 · 2011-10-28 · 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{JPAZITJHXZ2EKR43QFDUPZ2LDJ}

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	2026-05-18T02:58:00.292745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bc1944d27be7445479b814747e74b1a45529e1f0eaa8110111a9661cb97dca1

Aliases

arxiv: 1110.6434 · arxiv_version: 1110.6434v1 · doi: 10.48550/arxiv.1110.6434 · pith_short_12: JPAZITJHXZ2E · pith_short_16: JPAZITJHXZ2EKR43 · pith_short_8: JPAZITJH

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/JPAZITJHXZ2EKR43QFDUPZ2LDJ \
  | 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: 4bc1944d27be7445479b814747e74b1a45529e1f0eaa8110111a9661cb97dca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ba2658a271025437c19bd5f792ea26dabc9eeddc147bc9b69b6a5edec0c85a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-28T19:52:32Z",
    "title_canon_sha256": "e803e168bd1148985fedfad8821dd016c92d0ac663522d8958aaacdb8b2668c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6434",
    "kind": "arxiv",
    "version": 1
  }
}