Pith Number

pith:GBV2R3WY

pith:2014:GBV2R3WYFFYRCC4RGJASFSPVDP

not attested not anchored not stored refs pending

Minimal discs in hyperbolic space bounded by a quasicircle at infinity

Andrea Seppi

arxiv:1411.3412 v4 · 2014-11-13 · math.DG · 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{GBV2R3WYFFYRCC4RGJASFSPVDP}

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	2026-05-18T00:59:49.496474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

306ba8eed82971110b91324122c9f51be1919041e03461594839e31ac07e5e44

Aliases

arxiv: 1411.3412 · arxiv_version: 1411.3412v4 · doi: 10.48550/arxiv.1411.3412 · pith_short_12: GBV2R3WYFFYR · pith_short_16: GBV2R3WYFFYRCC4R · pith_short_8: GBV2R3WY

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/GBV2R3WYFFYRCC4RGJASFSPVDP \
  | 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: 306ba8eed82971110b91324122c9f51be1919041e03461594839e31ac07e5e44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ecba0bde92c1ff5ec1cbace4a0fff91fbde4ef507a87efd498c87d884ce0500",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-13T01:00:10Z",
    "title_canon_sha256": "3e174982f7134dc1f5c85780963f7af33052d6fbd0c941720c7954e5b71b3327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3412",
    "kind": "arxiv",
    "version": 4
  }
}