Pith Number

pith:XSYUD3DT

pith:2023:XSYUD3DTJEYXPI6CMQCD5HCW25

not attested not anchored not stored refs pending

Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: The central role of Mather measures

Albert Fathi, Jianlu Zhang, Maxime Zavidovique, Qinbo Chen

arxiv:2301.10478 v2 · 2023-01-25 · 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{XSYUD3DTJEYXPI6CMQCD5HCW25}

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	2026-07-05T05:36:20.893483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcb141ec73493177a3c264043e9c56d762c1b0febc8fedfd8c6d60d6c78c778f

Aliases

arxiv: 2301.10478 · arxiv_version: 2301.10478v2 · doi: 10.48550/arxiv.2301.10478 · pith_short_12: XSYUD3DTJEYX · pith_short_16: XSYUD3DTJEYXPI6C · pith_short_8: XSYUD3DT

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/XSYUD3DTJEYXPI6CMQCD5HCW25 \
  | 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: bcb141ec73493177a3c264043e9c56d762c1b0febc8fedfd8c6d60d6c78c778f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ad70914fe606bdc5eb4560888513aa998eea98e4976da9c0b54ea5af12310e4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-01-25T09:25:41Z",
    "title_canon_sha256": "c1b3a454e5867a7f9015ecfdd4edb6c937f9fa8dbcb1006762761010c396b875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.10478",
    "kind": "arxiv",
    "version": 2
  }
}