Pith Number

pith:DJXYM4QK

pith:2013:DJXYM4QKTSPX4MXT352PU7WMLE

not attested not anchored not stored refs pending

On maximally inflected hyperbolic curves

Aubin Arroyo, Erwan Brugall\'e, Lucia L\'opez de Medrano

arxiv:1311.3947 v3 · 2013-11-15 · math.AG · 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{DJXYM4QKTSPX4MXT352PU7WMLE}

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	2026-05-18T02:52:04.053581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a6f86720a9c9f7e32f3df74fa7ecc590c870c12e50dd0e21c7319e1dd2fbd11

Aliases

arxiv: 1311.3947 · arxiv_version: 1311.3947v3 · doi: 10.48550/arxiv.1311.3947 · pith_short_12: DJXYM4QKTSPX · pith_short_16: DJXYM4QKTSPX4MXT · pith_short_8: DJXYM4QK

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/DJXYM4QKTSPX4MXT352PU7WMLE \
  | 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: 1a6f86720a9c9f7e32f3df74fa7ecc590c870c12e50dd0e21c7319e1dd2fbd11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f47cc6a3dbc1b641c07245ceeeec706ba55aedb0d79f3269eee6f7384ba1166",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-15T18:47:50Z",
    "title_canon_sha256": "4a2dfe8465375935c8a23582a1b808a5a23992aabc76270109967e96d17bc056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3947",
    "kind": "arxiv",
    "version": 3
  }
}