Pith Number

pith:4RLPRVLW

pith:2015:4RLPRVLWH5OSFOHXVQN7FRVEHZ

not attested not anchored not stored refs pending

A class of unstable free boundary problems

Aram Karakhanyan, Enrico Valdinoci, Serena Dipierro

arxiv:1512.03043 v2 · 2015-12-09 · 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{4RLPRVLWH5OSFOHXVQN7FRVEHZ}

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	2026-05-18T00:20:59.971669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e456f8d5763f5d22b8f7ac1bf2c6a43e4771830a40b247ccf35f5fa44d3429df

Aliases

arxiv: 1512.03043 · arxiv_version: 1512.03043v2 · doi: 10.48550/arxiv.1512.03043 · pith_short_12: 4RLPRVLWH5OS · pith_short_16: 4RLPRVLWH5OSFOHX · pith_short_8: 4RLPRVLW

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/4RLPRVLWH5OSFOHXVQN7FRVEHZ \
  | 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: e456f8d5763f5d22b8f7ac1bf2c6a43e4771830a40b247ccf35f5fa44d3429df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fb34a9c74738bc0ce61d4df1f646b1d31dd63a6bd20b47870c63c54dddd826d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-09T20:52:18Z",
    "title_canon_sha256": "4bb89a6529bd46d17f4cd79776eada1f8eb07a9ecdca598af1a68bc5621b8512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03043",
    "kind": "arxiv",
    "version": 2
  }
}