Pith Number

pith:I7HHHY6U

pith:2016:I7HHHY6UL4E6M4AT5ZIZ6GCL7X

not attested not anchored not stored refs pending

Weak KAM theory for discount Hamilton-Jacobi equations and its application

Hiroyoshi Mitake, Kohei Soga

arxiv:1611.07685 v1 · 2016-11-23 · 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{I7HHHY6UL4E6M4AT5ZIZ6GCL7X}

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	2026-05-18T00:57:00.087468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ce73e3d45f09e67013ee519f184bfddb7af0588ae6c2189f940781bcd52913

Aliases

arxiv: 1611.07685 · arxiv_version: 1611.07685v1 · doi: 10.48550/arxiv.1611.07685 · pith_short_12: I7HHHY6UL4E6 · pith_short_16: I7HHHY6UL4E6M4AT · pith_short_8: I7HHHY6U

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/I7HHHY6UL4E6M4AT5ZIZ6GCL7X \
  | 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: 47ce73e3d45f09e67013ee519f184bfddb7af0588ae6c2189f940781bcd52913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8567289030b2658f028fd5d3445153fa1cd10551bc9c54180dfc7d9d90c39a6",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-23T08:34:59Z",
    "title_canon_sha256": "82e6d276aebb2867fb38a1e5b62ce1e18173fb4dfbc0d6f3cdc0cad0d87e7f19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07685",
    "kind": "arxiv",
    "version": 1
  }
}