Pith Number

pith:MZJITWRM

pith:2021:MZJITWRMZZSXLSGS2UUMMNQIKI

not attested not anchored not stored refs pending

Aubry-Mather theory for contact Hamiltonian systems II

Jun Yan, Kaizhi Wang, Lin Wang

arxiv:2107.07088 v1 · 2021-07-15 · 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{MZJITWRMZZSXLSGS2UUMMNQIKI}

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	2026-07-05T02:58:10.593012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

665289da2cce6575c8d2d528c636085223f2eb435613f6a1186d5ee5dd1f1b6d

Aliases

arxiv: 2107.07088 · arxiv_version: 2107.07088v1 · doi: 10.48550/arxiv.2107.07088 · pith_short_12: MZJITWRMZZSX · pith_short_16: MZJITWRMZZSXLSGS · pith_short_8: MZJITWRM

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/MZJITWRMZZSXLSGS2UUMMNQIKI \
  | 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: 665289da2cce6575c8d2d528c636085223f2eb435613f6a1186d5ee5dd1f1b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6135d18b7edcb6826d6b45d88a407843805dab29a92ab1224285117ebbdcb13a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-07-15T02:47:02Z",
    "title_canon_sha256": "879e5d6d00e437d612adcb7ccc3b7733973942e8e855e52f082cae95065c9984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.07088",
    "kind": "arxiv",
    "version": 1
  }
}