Pith Number

pith:E2CNB3FE

pith:2018:E2CNB3FER7WJIQKHFOEACE32FF

not attested not anchored not stored refs pending

Regularity in the two-phase free boundary problems under non-standard growth conditions

Jun Zheng

arxiv:1809.08519 v1 · 2018-09-23 · 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{E2CNB3FER7WJIQKHFOEACE32FF}

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	2026-05-18T00:05:04.216998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2684d0eca48fec9441472b8801137a2968aa088297907993a3eaf56925ae0782

Aliases

arxiv: 1809.08519 · arxiv_version: 1809.08519v1 · doi: 10.48550/arxiv.1809.08519 · pith_short_12: E2CNB3FER7WJ · pith_short_16: E2CNB3FER7WJIQKH · pith_short_8: E2CNB3FE

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/E2CNB3FER7WJIQKHFOEACE32FF \
  | 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: 2684d0eca48fec9441472b8801137a2968aa088297907993a3eaf56925ae0782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "510386a18d9fcc3823f95882e6c1e9bc6ed419734bce4afe59132b7ae80a0467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-23T03:01:38Z",
    "title_canon_sha256": "0f80f6f4d58d118876e1f853831583768fbede995491901e6d91ec446ab813d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08519",
    "kind": "arxiv",
    "version": 1
  }
}