Pith Number

pith:JR4IZ2DH

pith:2020:JR4IZ2DHKOI5M76RXDQKATT7YA

not attested not anchored not stored refs pending

On the existence of foliations by solutions to the exterior Dirichlet problem for the minimal surface equation

Ari Aiolfi, Daniel Bustos, Jaime Ripoll

arxiv:2012.14003 v2 · 2020-12-27 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JR4IZ2DHKOI5M76RXDQKATT7YA}

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	2026-07-05T03:13:01.591936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c788ce8675391d67fd1b8e0a04e7fc01b4c4964ce47a3f3ea7f8acbbf670eb3

Aliases

arxiv: 2012.14003 · arxiv_version: 2012.14003v2 · doi: 10.48550/arxiv.2012.14003 · pith_short_12: JR4IZ2DHKOI5 · pith_short_16: JR4IZ2DHKOI5M76R · pith_short_8: JR4IZ2DH

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/JR4IZ2DHKOI5M76RXDQKATT7YA \
  | 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: 4c788ce8675391d67fd1b8e0a04e7fc01b4c4964ce47a3f3ea7f8acbbf670eb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f334c0f9ce6d4ea45048d389502aabe41f73b610242d5c8c96b07ff13afd8f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-12-27T19:33:30Z",
    "title_canon_sha256": "3d23e4663722ced555d9b3ca77c5d1227546fefa05572e4999d2f6294a1c28a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.14003",
    "kind": "arxiv",
    "version": 2
  }
}