Pith Number

pith:R2KNFGD3

pith:2015:R2KNFGD3Q4POUL7JCNWRCIONY3

not attested not anchored not stored refs pending

Some recent results on Anosov representations

Bernhard Leeb, Joan Porti, Michael Kapovich

arxiv:1511.08940 v1 · 2015-11-28 · math.GR · 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{R2KNFGD3Q4POUL7JCNWRCIONY3}

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	2026-05-18T01:25:46.046230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e94d2987b871eea2fe9136d1121cdc6e074fcfd22a3f11f6d0ae37fe6965e79

Aliases

arxiv: 1511.08940 · arxiv_version: 1511.08940v1 · doi: 10.48550/arxiv.1511.08940 · pith_short_12: R2KNFGD3Q4PO · pith_short_16: R2KNFGD3Q4POUL7J · pith_short_8: R2KNFGD3

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/R2KNFGD3Q4POUL7JCNWRCIONY3 \
  | 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: 8e94d2987b871eea2fe9136d1121cdc6e074fcfd22a3f11f6d0ae37fe6965e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "538e3449bdde8b196fed301ad16f2cef8db03e96c7070fd8145a503c872499fc",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-28T22:22:23Z",
    "title_canon_sha256": "049a376c253aba1970bced8c97aec0ed1b57f4cdddf61a3656b85f83a1c49563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08940",
    "kind": "arxiv",
    "version": 1
  }
}