Pith Number

pith:CKWR2F23

pith:2017:CKWR2F23XIDNLCIHWTRYXTG4ZX

not attested not anchored not stored refs pending

A representation formula of viscosity solutions to weakly coupled systems of Hamilton-Jacobi equations with applications to regularizing effect

Jun Yan, Liang Jin, Lin Wang

arxiv:1707.02716 v2 · 2017-07-10 · math.AP · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKWR2F23XIDNLCIHWTRYXTG4ZX}

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	2026-05-17T23:57:32.781149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ad1d175bba06d58907b4e38bccdccdc9001e116d1d0fab220befa48ba8f9a9

Aliases

arxiv: 1707.02716 · arxiv_version: 1707.02716v2 · doi: 10.48550/arxiv.1707.02716 · pith_short_12: CKWR2F23XIDN · pith_short_16: CKWR2F23XIDNLCIH · pith_short_8: CKWR2F23

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/CKWR2F23XIDNLCIHWTRYXTG4ZX \
  | 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: 12ad1d175bba06d58907b4e38bccdccdc9001e116d1d0fab220befa48ba8f9a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f982ce3d25a3df0cb2f7fb9b7a54bbf9427d72353994521d72a8ae103f0d39a0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-10T07:00:25Z",
    "title_canon_sha256": "2b1f387b8060848d4b96296df0525b5794aa73bde3edc220468b86d6688aac73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02716",
    "kind": "arxiv",
    "version": 2
  }
}