Pith Number

pith:L3EHE4UD

pith:2021:L3EHE4UDV5TRDOWYY7Z7U2OLX6

not attested not anchored not stored refs pending

Double phase implicit obstacle problems with convection and multivalued mixed boundary value conditions

Patrick Winkert, Shengda Zeng, Vicen\c{t}iu D. R\u{a}dulescu

arxiv:2108.07672 v2 · 2021-08-17 · 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{L3EHE4UDV5TRDOWYY7Z7U2OLX6}

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	2026-07-05T04:11:25.961404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ec8727283af6711bad8c7f3fa69cbbfbe64addfca5d4359206cb1dd9c89bfb8

Aliases

arxiv: 2108.07672 · arxiv_version: 2108.07672v2 · doi: 10.48550/arxiv.2108.07672 · pith_short_12: L3EHE4UDV5TR · pith_short_16: L3EHE4UDV5TRDOWY · pith_short_8: L3EHE4UD

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/L3EHE4UDV5TRDOWYY7Z7U2OLX6 \
  | 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: 5ec8727283af6711bad8c7f3fa69cbbfbe64addfca5d4359206cb1dd9c89bfb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b64977ba7802fae1d72f18b247221254a936114fef4451332833e4a033877be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-08-17T15:08:29Z",
    "title_canon_sha256": "7877edab619ba7b91f47af5525739584b9f7a4db5d386b98100ff04e97ac7aec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07672",
    "kind": "arxiv",
    "version": 2
  }
}