Pith Number

pith:XATPUAB6

pith:2023:XATPUAB6MDTDRWQYMUDF2AIZ2Y

not attested not anchored not stored refs pending

Geometrically and topologically random surfaces in a closed hyperbolic three manifold

Ilia Smilga, Jeremy Kahn, Vladimir Markovic

arxiv:2309.02847 v1 · 2023-09-06 · 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{XATPUAB6MDTDRWQYMUDF2AIZ2Y}

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.

Cited by

1 paper in Pith

MLC for parabolically bounded primitive renormalization

Receipt and verification

First computed	2026-07-05T06:48:18.239112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b826fa003e60e638da1865065d0119d609176f964b8521f3256332812122eba3

Aliases

arxiv: 2309.02847 · arxiv_version: 2309.02847v1 · doi: 10.48550/arxiv.2309.02847 · pith_short_12: XATPUAB6MDTD · pith_short_16: XATPUAB6MDTDRWQY · pith_short_8: XATPUAB6

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/XATPUAB6MDTDRWQYMUDF2AIZ2Y \
  | 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: b826fa003e60e638da1865065d0119d609176f964b8521f3256332812122eba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4de473f367bfc8c1a559470a2533e8e05d17510b35a77de2db632968a58129d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-09-06T09:12:25Z",
    "title_canon_sha256": "8cf35469750ff953d0a440bab1fa26a0e89fe5151f6e797fb6c5e022e65b7401"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.02847",
    "kind": "arxiv",
    "version": 1
  }
}