Pith Number

pith:VIIL6COD

pith:2017:VIIL6COD7PUMRFBS2NPY5OWLIF

not attested not anchored not stored refs pending

Hill-type formula for Hamiltonian system with Lagrangian boundary conditions

Penghui Wang, Xijun Hu, Yuwei Ou

arxiv:1711.09182 v1 · 2017-11-25 · math.SP · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIIL6COD7PUMRFBS2NPY5OWLIF}

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	2026-05-18T00:29:40.304420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa10bf09c3fbe8c89432d35f8ebacb4165a3e6dcb9445e4b4efaca0dee455ef6

Aliases

arxiv: 1711.09182 · arxiv_version: 1711.09182v1 · doi: 10.48550/arxiv.1711.09182 · pith_short_12: VIIL6COD7PUM · pith_short_16: VIIL6COD7PUMRFBS · pith_short_8: VIIL6COD

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/VIIL6COD7PUMRFBS2NPY5OWLIF \
  | 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: aa10bf09c3fbe8c89432d35f8ebacb4165a3e6dcb9445e4b4efaca0dee455ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af2885690ee11580cdc5d60da4ead0b0409fd5e8dd6bc4055478e3d59f3cfa5",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-11-25T03:00:29Z",
    "title_canon_sha256": "667286c8fd537cb73c8791099e46ac286706f0f57aedb964699e85305396b92d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09182",
    "kind": "arxiv",
    "version": 1
  }
}