Pith Number

pith:2LTGY6BT

pith:2021:2LTGY6BTQIROV25MU2SRV5TLH2

not attested not anchored not stored refs pending

Finite-time convergence of solutions of Hamilton-Jacobi equations

Jun Yan, Kai Zhao, Kaizhi Wang

arxiv:2101.09879 v2 · 2021-01-25 · 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{2LTGY6BTQIROV25MU2SRV5TLH2}

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	2026-07-05T02:09:57.763082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2e66c78338222eaebaca6a51af66b3ea82f550e7882e244b40d37dc7040d4bb

Aliases

arxiv: 2101.09879 · arxiv_version: 2101.09879v2 · doi: 10.48550/arxiv.2101.09879 · pith_short_12: 2LTGY6BTQIRO · pith_short_16: 2LTGY6BTQIROV25M · pith_short_8: 2LTGY6BT

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/2LTGY6BTQIROV25MU2SRV5TLH2 \
  | 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: d2e66c78338222eaebaca6a51af66b3ea82f550e7882e244b40d37dc7040d4bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "255780a434bf5395a433a314714f2891cc34e4d1d4544f243c76017521d792bf",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-01-25T03:37:47Z",
    "title_canon_sha256": "b56ad95eb04d10eabf17aa52f28ea093a742ea813fd4185aa2f5296e647fd87b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.09879",
    "kind": "arxiv",
    "version": 2
  }
}