Pith Number

pith:E6SMJJX5

pith:2018:E6SMJJX5AYW5WX334AKHWVWB4X

not attested not anchored not stored refs pending

Reciprocal lower bound on modulus of curve families in metric surfaces

Kai Rajala, Matthew Romney

arxiv:1801.08223 v2 · 2018-01-24 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E6SMJJX5AYW5WX334AKHWVWB4X}

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	2026-05-17T23:56:30.049545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27a4c4a6fd062ddb5f7be0147b56c1e5c449d0c71b1b93270e6e805f6a6ee631

Aliases

arxiv: 1801.08223 · arxiv_version: 1801.08223v2 · doi: 10.48550/arxiv.1801.08223 · pith_short_12: E6SMJJX5AYW5 · pith_short_16: E6SMJJX5AYW5WX33 · pith_short_8: E6SMJJX5

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/E6SMJJX5AYW5WX334AKHWVWB4X \
  | 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: 27a4c4a6fd062ddb5f7be0147b56c1e5c449d0c71b1b93270e6e805f6a6ee631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34907555fd02c842144fccd3579146273ea6e9cc21a1dfab2b777256e609b6b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-01-24T22:30:26Z",
    "title_canon_sha256": "720d300f37113fcc1a239d550895335125d0d60f54409449a0870295c0d27969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08223",
    "kind": "arxiv",
    "version": 2
  }
}