Pith Number

pith:4IDXBQKV

pith:2017:4IDXBQKVHICXAVIZULKJXLFHGP

not attested not anchored not stored refs pending

Measuring complexity of curves on surfaces

Macarena Covadonga Robles Arenas, Max Neumann-Coto

arxiv:1712.06671 v2 · 2017-12-18 · 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{4IDXBQKVHICXAVIZULKJXLFHGP}

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	2026-05-18T00:10:22.200746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20770c1553a05705519a2d49baca733c831b87a96a877cccc9ab6eed3a0068d

Aliases

arxiv: 1712.06671 · arxiv_version: 1712.06671v2 · doi: 10.48550/arxiv.1712.06671 · pith_short_12: 4IDXBQKVHICX · pith_short_16: 4IDXBQKVHICXAVIZ · pith_short_8: 4IDXBQKV

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/4IDXBQKVHICXAVIZULKJXLFHGP \
  | 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: e20770c1553a05705519a2d49baca733c831b87a96a877cccc9ab6eed3a0068d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4635caece0e7c326e4ff8da55b552ff52cdebcc11b3b1f2b115536adb8a475e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-18T20:59:44Z",
    "title_canon_sha256": "4a99f9dbc54cdd8f4ff0656b992394c841154632ba34f640c36853b4747d4ca5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06671",
    "kind": "arxiv",
    "version": 2
  }
}