Pith Number

pith:VX25JALT

pith:2019:VX25JALTYJQBSSKOH2ZCMKXVKK

not attested not anchored not stored refs pending

Verifying fundamental solution groups for lossless wave equations via stationary action and optimal control

Peter M. Dower, William M. McEneaney

arxiv:1906.03592 v1 · 2019-06-09 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VX25JALTYJQBSSKOH2ZCMKXVKK}

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	2026-05-17T23:43:47.978921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf5d48173c26019494e3eb2262af5528dd790daeb87eae55abe49d17986fd02

Aliases

arxiv: 1906.03592 · arxiv_version: 1906.03592v1 · doi: 10.48550/arxiv.1906.03592 · pith_short_12: VX25JALTYJQB · pith_short_16: VX25JALTYJQBSSKO · pith_short_8: VX25JALT

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/VX25JALTYJQBSSKOH2ZCMKXVKK \
  | 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: adf5d48173c26019494e3eb2262af5528dd790daeb87eae55abe49d17986fd02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9fba40efe8d2c74c26031c16051e1ce510f85ef5f3a3a32682e2583c33ab10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-09T08:23:11Z",
    "title_canon_sha256": "88f1343f691df870b2169c59d625fa23e9928b4ff76c6a907210636c2a42a85a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03592",
    "kind": "arxiv",
    "version": 1
  }
}