Pith Number

pith:7W4KXWDP

pith:2015:7W4KXWDPTM4XNEIBY2XW4SFTCF

not attested not anchored not stored refs pending

Systoles of Arithmetic Hyperbolic Surfaces and 3-manifolds

Benjamin Linowitz, D. B. McReynolds, Lola Thompson, Paul Pollack

arxiv:1504.05257 v4 · 2015-04-20 · math.GT · math.DG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7W4KXWDPTM4XNEIBY2XW4SFTCF}

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	2026-05-18T00:01:01.043640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdb8abd86f9b39769101c6af6e48b3114e6bdd94f7c0b4741c513020267e1fe5

Aliases

arxiv: 1504.05257 · arxiv_version: 1504.05257v4 · doi: 10.48550/arxiv.1504.05257 · pith_short_12: 7W4KXWDPTM4X · pith_short_16: 7W4KXWDPTM4XNEIB · pith_short_8: 7W4KXWDP

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/7W4KXWDPTM4XNEIBY2XW4SFTCF \
  | 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: fdb8abd86f9b39769101c6af6e48b3114e6bdd94f7c0b4741c513020267e1fe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0275cf6f78782c416f533b218c0b519a3bbf5c9f74a3762bb93aa0fa665af54",
    "cross_cats_sorted": [
      "math.DG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-20T23:33:12Z",
    "title_canon_sha256": "d54436af1c5142432f4c8fa95eb89e7cfe96b6c7e9cb21b0e275891a72001f7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05257",
    "kind": "arxiv",
    "version": 4
  }
}