Pith Number

pith:3XL2QNBY

pith:2016:3XL2QNBYIRXVPNHICAXOA6BI2D

not attested not anchored not stored refs pending

Hyperbolic polygons of minimal perimeter in punctured discs

Joan Porti

arxiv:1609.08460 v1 · 2016-09-27 · 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{3XL2QNBYIRXVPNHICAXOA6BI2D}

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	2026-05-18T01:03:45.818723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd7a83438446f57b4e8102ee07828d0f033eb6752dd011123bbc39b0e5eac3e

Aliases

arxiv: 1609.08460 · arxiv_version: 1609.08460v1 · doi: 10.48550/arxiv.1609.08460 · pith_short_12: 3XL2QNBYIRXV · pith_short_16: 3XL2QNBYIRXVPNHI · pith_short_8: 3XL2QNBY

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/3XL2QNBYIRXVPNHICAXOA6BI2D \
  | 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: ddd7a83438446f57b4e8102ee07828d0f033eb6752dd011123bbc39b0e5eac3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c44e4bad257328237139703f727a6af39c433c8c9b95c94e9aeca11889ab9ad9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-09-27T14:10:08Z",
    "title_canon_sha256": "0d1ff73d95eb7f8a8db515298a3f59d27d3b6dd7ed71bf75c913a5d610ffea45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08460",
    "kind": "arxiv",
    "version": 1
  }
}