Pith Number

pith:3YQ2VVR3

pith:2018:3YQ2VVR3ZR5FR4G3J5D3O4MI6R

not attested not anchored not stored refs pending

Isoperimetric inequalities in Riemann surfaces and graphs

\'Alvaro Mart\'inez-P\'erez, Jos\'e M. Rodr\'iguez

arxiv:1806.04619 v1 · 2018-06-12 · 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{3YQ2VVR3ZR5FR4G3J5D3O4MI6R}

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	2026-05-18T00:13:33.179936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de21aad63bcc7a58f0db4f47b77188f45daa362b20351dd51d021f9ba5ae16cb

Aliases

arxiv: 1806.04619 · arxiv_version: 1806.04619v1 · doi: 10.48550/arxiv.1806.04619 · pith_short_12: 3YQ2VVR3ZR5F · pith_short_16: 3YQ2VVR3ZR5FR4G3 · pith_short_8: 3YQ2VVR3

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/3YQ2VVR3ZR5FR4G3J5D3O4MI6R \
  | 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: de21aad63bcc7a58f0db4f47b77188f45daa362b20351dd51d021f9ba5ae16cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4232dff5a867a8490a2a554fa2da09ab54a68553a92f9e527aab795252b1d03f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-06-12T15:58:35Z",
    "title_canon_sha256": "18f804ef701b801b3108dad4c5fe07248bc2b5b52eb930596264be694dfaa7de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04619",
    "kind": "arxiv",
    "version": 1
  }
}