Pith Number

pith:GTKXECZX

pith:2021:GTKXECZXU2N7FMTNWY3TSCNKN7

not attested not anchored not stored refs pending

Ergodic problems for contact Hamilton-Jacobi equations

Jun Yan, Kaizhi Wang

arxiv:2107.11554 v2 · 2021-07-24 · 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{GTKXECZXU2N7FMTNWY3TSCNKN7}

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.

Cited by

1 paper in Pith

On the inhomogeneous discounted Hamilton-Jacobi equations

Receipt and verification

First computed	2026-07-05T04:56:11.387710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34d5720b37a69bf2b26db6373909aa6fe827200704622e450ba53a83436ca9b5

Aliases

arxiv: 2107.11554 · arxiv_version: 2107.11554v2 · doi: 10.48550/arxiv.2107.11554 · pith_short_12: GTKXECZXU2N7 · pith_short_16: GTKXECZXU2N7FMTN · pith_short_8: GTKXECZX

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/GTKXECZXU2N7FMTNWY3TSCNKN7 \
  | 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: 34d5720b37a69bf2b26db6373909aa6fe827200704622e450ba53a83436ca9b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b820b6d1005b9a2a0799e0b086b9c7916de7ff63b09d153e493d9ed85dd29991",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-07-24T08:06:30Z",
    "title_canon_sha256": "01fbec560c6289bca2471925c9226a727b999f0440f0a676cbaa39c27725ec61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11554",
    "kind": "arxiv",
    "version": 2
  }
}