Pith Number

pith:RJ2YVIRU

pith:2017:RJ2YVIRU3HHZJNHRCNMUFOV6LJ

not attested not anchored not stored refs pending

A limiting free boundary problem with gradient constraint and Tug-of-War games

Jo\~ao V\'itor da Silva, Julio D. Rossi, Pablo Blanc

arxiv:1712.06683 v1 · 2017-12-18 · 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{RJ2YVIRU3HHZJNHRCNMUFOV6LJ}

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	2026-05-18T00:27:40.782844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a758aa234d9cf94b4f1135942babe5a4066fc04760ba0c4c6461f83875ed2eb

Aliases

arxiv: 1712.06683 · arxiv_version: 1712.06683v1 · doi: 10.48550/arxiv.1712.06683 · pith_short_12: RJ2YVIRU3HHZ · pith_short_16: RJ2YVIRU3HHZJNHR · pith_short_8: RJ2YVIRU

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/RJ2YVIRU3HHZJNHRCNMUFOV6LJ \
  | 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: 8a758aa234d9cf94b4f1135942babe5a4066fc04760ba0c4c6461f83875ed2eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce40351ffd119e2e8f4d889924e798beb684ce2924066929a09863cd3f37a2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-18T21:26:50Z",
    "title_canon_sha256": "0ee06d545c09295343111106ea11ab08b4bce54ef5733ddd298307cc9a999036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06683",
    "kind": "arxiv",
    "version": 1
  }
}