Pith Number

pith:AQPC3WGO

pith:2019:AQPC3WGOQ6NGVAD6N6LKO6UVXW

not attested not anchored not stored refs pending

Minimizers for the thin one-phase free boundary problem

Aapo Kauranen, Georgios Sakellaris, Mart\'i Prats, Max Engelstein, Yannick Sire

arxiv:1907.11604 v1 · 2019-07-26 · 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{AQPC3WGOQ6NGVAD6N6LKO6UVXW}

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	2026-05-17T23:39:28.557254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

041e2dd8ce879a6a807e6f96a77a95bd8036cc0c3268ee9b83ecfe9bb777c978

Aliases

arxiv: 1907.11604 · arxiv_version: 1907.11604v1 · doi: 10.48550/arxiv.1907.11604 · pith_short_12: AQPC3WGOQ6NG · pith_short_16: AQPC3WGOQ6NGVAD6 · pith_short_8: AQPC3WGO

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/AQPC3WGOQ6NGVAD6N6LKO6UVXW \
  | 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: 041e2dd8ce879a6a807e6f96a77a95bd8036cc0c3268ee9b83ecfe9bb777c978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae7afed90b9b6e45e9c4617e32cc8f992114f53d2850bce532d502dd5aaae47b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-26T14:47:24Z",
    "title_canon_sha256": "8b156dda18905f42ae41200abf414effd254d3a98e5c850d45a4561231240445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11604",
    "kind": "arxiv",
    "version": 1
  }
}