Pith Number

pith:QYJBSETP

pith:2015:QYJBSETP6AHMU7F3LWLSG6SUXZ

not attested not anchored not stored refs pending

Simple length rigidity for Kleinian surface groups and applications

Martin Bridgeman, Richard D. Canary

arxiv:1509.02510 v2 · 2015-09-08 · math.GT · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYJBSETP6AHMU7F3LWLSG6SUXZ}

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	2026-05-18T00:40:46.921019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

861219126ff00eca7cbb5d97237a54be5f5a046131009d97677a6aeee2495243

Aliases

arxiv: 1509.02510 · arxiv_version: 1509.02510v2 · doi: 10.48550/arxiv.1509.02510 · pith_short_12: QYJBSETP6AHM · pith_short_16: QYJBSETP6AHMU7F3 · pith_short_8: QYJBSETP

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/QYJBSETP6AHMU7F3LWLSG6SUXZ \
  | 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: 861219126ff00eca7cbb5d97237a54be5f5a046131009d97677a6aeee2495243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f8196fb6b6531d58cdc35f8a16bbafe08f97b883a699b1ddf1629ae52be78c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-08T19:38:55Z",
    "title_canon_sha256": "c67e8c88b0b35f8c896681826b1c343e50b4b16578003d0b9abc79728ae0a2f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02510",
    "kind": "arxiv",
    "version": 2
  }
}