Pith Number

pith:4CWVBM37

pith:2015:4CWVBM37IY7EF4EDKC6SA2K53M

not attested not anchored not stored refs pending

On a long range segregation model

Luis A. Caffarelli, Stefania Patrizi, Veronica Quitalo

arxiv:1505.05433 v3 · 2015-05-20 · 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{4CWVBM37IY7EF4EDKC6SA2K53M}

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	2026-05-18T00:42:07.953708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ad50b37f463e42f08350bd20695ddb0a882eb53be0dc82aefecf7cab597872

Aliases

arxiv: 1505.05433 · arxiv_version: 1505.05433v3 · doi: 10.48550/arxiv.1505.05433 · pith_short_12: 4CWVBM37IY7E · pith_short_16: 4CWVBM37IY7EF4ED · pith_short_8: 4CWVBM37

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/4CWVBM37IY7EF4EDKC6SA2K53M \
  | 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: e0ad50b37f463e42f08350bd20695ddb0a882eb53be0dc82aefecf7cab597872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04206582d07ac0485b67bf174bc71c2293519ed99c1bf7e1f65ba0f39c91f8b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-20T15:55:44Z",
    "title_canon_sha256": "0b6fed38d4efa949d243b1594d910bf44a19137c730f8479e3f4a347a8086c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05433",
    "kind": "arxiv",
    "version": 3
  }
}