Pith Number

pith:WBCR2IWG

pith:2018:WBCR2IWGIXWS4FLZFJAXDZVNEG

not attested not anchored not stored refs pending

Aubry-Mather and weak KAM theories for contact Hamiltonian systems. Part 1: Strictly increasing case

Jun Yan, Kaizhi Wang, Lin Wang

arxiv:1801.05612 v4 · 2018-01-17 · math.DS · 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{WBCR2IWGIXWS4FLZFJAXDZVNEG}

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	2026-05-18T00:16:08.037653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0451d22c645ed2e15792a4171e6ad21ac715e1699e36a2534f306660adb1ed4

Aliases

arxiv: 1801.05612 · arxiv_version: 1801.05612v4 · doi: 10.48550/arxiv.1801.05612 · pith_short_12: WBCR2IWGIXWS · pith_short_16: WBCR2IWGIXWS4FLZ · pith_short_8: WBCR2IWG

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/WBCR2IWGIXWS4FLZFJAXDZVNEG \
  | 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: b0451d22c645ed2e15792a4171e6ad21ac715e1699e36a2534f306660adb1ed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08e45ee54c6d40268bae86becd98f140bab0c389191e08fbea7f401b1128db9d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-01-17T10:15:14Z",
    "title_canon_sha256": "261eb897e3832ccb8b732f57fb7b511cda978cdff6ab6f255e41a6708aff833d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05612",
    "kind": "arxiv",
    "version": 4
  }
}