Pith Number

pith:4GD4SR6Y

pith:2021:4GD4SR6Y343MT7OGJG2C5WENNZ

not attested not anchored not stored refs pending

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

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

arxiv:2106.15422 v2 · 2021-06-29 · 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{4GD4SR6Y343MT7OGJG2C5WENNZ}

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	2026-07-05T04:21:04.746378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e187c947d8df36c9fdc649b42ed88d6e7fdd1c857b1e80cd4ab6dfdb92ab1200

Aliases

arxiv: 2106.15422 · arxiv_version: 2106.15422v2 · doi: 10.48550/arxiv.2106.15422 · pith_short_12: 4GD4SR6Y343M · pith_short_16: 4GD4SR6Y343MT7OG · pith_short_8: 4GD4SR6Y

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/4GD4SR6Y343MT7OGJG2C5WENNZ \
  | 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: e187c947d8df36c9fdc649b42ed88d6e7fdd1c857b1e80cd4ab6dfdb92ab1200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0c9df03d5ac3a33ebda643a3fe718f18f1535a3889cda5694c39bd6b0bcea3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-06-29T13:48:54Z",
    "title_canon_sha256": "dd56120ad051f80ef52802d8dd717f5d865eb7f55516fbe795759c0bfb5a00d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.15422",
    "kind": "arxiv",
    "version": 2
  }
}