Pith Number

pith:Y6UT5IG7

pith:2022:Y6UT5IG7LJQMWJAJ2OUQYZEWCC

not attested not anchored not stored refs pending

Density of the boundary regular set of 2d area minimizing currents with arbitrary codimension and multiplicity

Reinaldo Resende, Stefano Nardulli

arxiv:2204.11947 v2 · 2022-04-25 · 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{Y6UT5IG7LJQMWJAJ2OUQYZEWCC}

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	2026-07-05T09:00:52.563991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a93ea0df5a60cb2409d3a90c649610a10a3ffe76e3ec8af5ec5a6ff38ebde5

Aliases

arxiv: 2204.11947 · arxiv_version: 2204.11947v2 · doi: 10.48550/arxiv.2204.11947 · pith_short_12: Y6UT5IG7LJQM · pith_short_16: Y6UT5IG7LJQMWJAJ · pith_short_8: Y6UT5IG7

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/Y6UT5IG7LJQMWJAJ2OUQYZEWCC \
  | 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: c7a93ea0df5a60cb2409d3a90c649610a10a3ffe76e3ec8af5ec5a6ff38ebde5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee2f0b5275fe6cbcbd446c4129b0428855f9ae0c98427704cbdda44cb74079c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-04-25T20:01:30Z",
    "title_canon_sha256": "5d06253efcba60a155dbf7ab9d33544e5e47622442baeed7333ab266cc4c71cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.11947",
    "kind": "arxiv",
    "version": 2
  }
}