Pith Number

pith:2OKMQTSR

pith:2011:2OKMQTSREOEIBR3NW5HBVOFXFN

not attested not anchored not stored refs pending

The curve complex and covers via hyperbolic 3-manifolds

Robert Tang

arxiv:1104.3492 v1 · 2011-04-18 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OKMQTSREOEIBR3NW5HBVOFXFN}

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	2026-05-18T03:49:32.970143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d394c84e51238880c76db74e1ab8b72b78a1c5661a3e08923aadf2d060d6ddc5

Aliases

arxiv: 1104.3492 · arxiv_version: 1104.3492v1 · doi: 10.48550/arxiv.1104.3492 · pith_short_12: 2OKMQTSREOEI · pith_short_16: 2OKMQTSREOEIBR3N · pith_short_8: 2OKMQTSR

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/2OKMQTSREOEIBR3NW5HBVOFXFN \
  | 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: d394c84e51238880c76db74e1ab8b72b78a1c5661a3e08923aadf2d060d6ddc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d9f7d29df7412702a6c412ec7b89cfa325d3453633d07159d8556443a82c62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-04-18T14:19:09Z",
    "title_canon_sha256": "5bb21f788838838ab1ad6320aa42033e49d0a8e006dd544bd9e3cc5cbfdf39bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3492",
    "kind": "arxiv",
    "version": 1
  }
}