Pith Number

pith:OPO24SLE

pith:2019:OPO24SLE6KDUF55XF5PII3CDWV

not attested not anchored not stored refs pending

Simplicial complexity of surface groups and systolic area

Elias Gabriel Minian, Eugenio Borghini

arxiv:1907.01667 v1 · 2019-07-02 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPO24SLE6KDUF55XF5PII3CDWV}

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	2026-05-17T23:41:35.562220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ddae4964f28742f7b72f5e846c43b57f05b3f9c6f819462fc487ac2d6edea3

Aliases

arxiv: 1907.01667 · arxiv_version: 1907.01667v1 · doi: 10.48550/arxiv.1907.01667 · pith_short_12: OPO24SLE6KDU · pith_short_16: OPO24SLE6KDUF55X · pith_short_8: OPO24SLE

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/OPO24SLE6KDUF55XF5PII3CDWV \
  | 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: 73ddae4964f28742f7b72f5e846c43b57f05b3f9c6f819462fc487ac2d6edea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d9369f4a4ce42a20c7a532a6446899e8c529313c93dfb974176061ed34ae36",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-07-02T22:28:44Z",
    "title_canon_sha256": "f2f5aebc0f735e446276fc74ba9ee344ac854c084cd1f3c0033a8e9f1e56494b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01667",
    "kind": "arxiv",
    "version": 1
  }
}