Pith Number

pith:JXFTDWHN

pith:2018:JXFTDWHNGPX6SNMBHD36JEKHTF

not attested not anchored not stored refs pending

PreHamiltonian and Hamiltonian operators for differential-difference equations

Alexander V. Mikhailov, Jing Ping Wang, Sylvain Carpentier

arxiv:1808.02957 v1 · 2018-08-08 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXFTDWHNGPX6SNMBHD36JEKHTF}

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	2026-05-18T00:08:30.583210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dcb31d8ed33efe9358138f7e491479971aaff854fca386ec42a54df9925223a

Aliases

arxiv: 1808.02957 · arxiv_version: 1808.02957v1 · doi: 10.48550/arxiv.1808.02957 · pith_short_12: JXFTDWHNGPX6 · pith_short_16: JXFTDWHNGPX6SNMB · pith_short_8: JXFTDWHN

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/JXFTDWHNGPX6SNMBHD36JEKHTF \
  | 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: 4dcb31d8ed33efe9358138f7e491479971aaff854fca386ec42a54df9925223a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "357c9cfdfbf4e8735ccbb51a1998f2aca8f6d3d470b36389f4bdf096248ee0d0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-08T22:35:21Z",
    "title_canon_sha256": "0f66f7b579cbc82ce4cf68ce5462a06486c9162bf29b9a8ab4171b6047b24c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02957",
    "kind": "arxiv",
    "version": 1
  }
}