Pith Number

pith:JM65LIXT

pith:2015:JM65LIXT3TTEI2S3T3QJIBEWUJ

not attested not anchored not stored refs pending

The regularity of the boundary of a multidimensional aggregation patch

Andrea Bertozzi, Joan Verdera, John Garnett, Thomas Laurent

arxiv:1507.07831 v2 · 2015-07-28 · 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{JM65LIXT3TTEI2S3T3QJIBEWUJ}

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	2026-05-18T01:07:52.436806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b3dd5a2f3dce6446a5b9ee0940496a2404e25816cec5c8322853b4365805267

Aliases

arxiv: 1507.07831 · arxiv_version: 1507.07831v2 · doi: 10.48550/arxiv.1507.07831 · pith_short_12: JM65LIXT3TTE · pith_short_16: JM65LIXT3TTEI2S3 · pith_short_8: JM65LIXT

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/JM65LIXT3TTEI2S3T3QJIBEWUJ \
  | 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: 4b3dd5a2f3dce6446a5b9ee0940496a2404e25816cec5c8322853b4365805267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834e8991456b5e59b6c59962675a8f81d8b79df767d33e04391c85c987d4bff4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-28T16:25:18Z",
    "title_canon_sha256": "94a787defa7f318e47e649d0b5ab9a756a22effc8674a98c6d0476db062aaa50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07831",
    "kind": "arxiv",
    "version": 2
  }
}