Pith Number

pith:ZY4DZJ6M

pith:2015:ZY4DZJ6MVP6WCPU33T7FOW4TRE

not attested not anchored not stored refs pending

Lifts of simple curves in finite regular coverings of closed surfaces

Ingrid Irmer

arxiv:1508.04815 v8 · 2015-08-19 · 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{ZY4DZJ6MVP6WCPU33T7FOW4TRE}

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	2026-05-18T00:15:31.277753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce383ca7ccabfd613e9bdcfe575b93891dbfd253e82d43149644b5504f57724d

Aliases

arxiv: 1508.04815 · arxiv_version: 1508.04815v8 · doi: 10.48550/arxiv.1508.04815 · pith_short_12: ZY4DZJ6MVP6W · pith_short_16: ZY4DZJ6MVP6WCPU3 · pith_short_8: ZY4DZJ6M

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/ZY4DZJ6MVP6WCPU33T7FOW4TRE \
  | 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: ce383ca7ccabfd613e9bdcfe575b93891dbfd253e82d43149644b5504f57724d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7f11e3615cfb1381b4c871c6a82451533c4b6714bed9a6594b36df99fe53b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-19T22:18:53Z",
    "title_canon_sha256": "8af900815023941433d88d1f3790bfe14a2d5a83b69c562a7949051a8061d96d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04815",
    "kind": "arxiv",
    "version": 8
  }
}