Pith Number

pith:M73VPWXU

pith:2015:M73VPWXUEJCV3LYLDDQ62AABJS

not attested not anchored not stored refs pending

Solving two-point boundary value problems for a wave equation via the principle of stationary action and optimal control

Peter M. Dower, William M. McEneaney

arxiv:1501.02006 v1 · 2015-01-08 · 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{M73VPWXUEJCV3LYLDDQ62AABJS}

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	2026-05-18T00:30:55.672167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f757daf422455daf0b18e1ed00014cbb8e7cee2a9234d2884dadd070422f25

Aliases

arxiv: 1501.02006 · arxiv_version: 1501.02006v1 · doi: 10.48550/arxiv.1501.02006 · pith_short_12: M73VPWXUEJCV · pith_short_16: M73VPWXUEJCV3LYL · pith_short_8: M73VPWXU

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/M73VPWXUEJCV3LYLDDQ62AABJS \
  | 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: 67f757daf422455daf0b18e1ed00014cbb8e7cee2a9234d2884dadd070422f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31c6df7b437cec4a1b3c1bdb687f912a140b777c8f9e1aa65fc7779e71ee3e99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-01-08T23:26:46Z",
    "title_canon_sha256": "43de4798070c4c7d2c3acd0a7d12dda2fdf55f62e7dd77875c936824ff15e116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02006",
    "kind": "arxiv",
    "version": 1
  }
}