Pith Number

pith:EGLPMEFH

pith:2017:EGLPMEFHLCL27XW43AJFIITGMT

not attested not anchored not stored refs pending

Integral and measure-turnpike properties for infinite-dimensional optimal control systems

Can Zhang, Emmanuel Trelat

arxiv:1705.02762 v1 · 2017-05-08 · 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{EGLPMEFHLCL27XW43AJFIITGMT}

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	2026-05-18T00:44:53.698302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2196f610a75897afdedcd81254226664f7c6cd7d10c15ab293ec772566b08221

Aliases

arxiv: 1705.02762 · arxiv_version: 1705.02762v1 · doi: 10.48550/arxiv.1705.02762 · pith_short_12: EGLPMEFHLCL2 · pith_short_16: EGLPMEFHLCL27XW4 · pith_short_8: EGLPMEFH

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/EGLPMEFHLCL27XW43AJFIITGMT \
  | 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: 2196f610a75897afdedcd81254226664f7c6cd7d10c15ab293ec772566b08221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "589bcfd62e9768866540001c39875df2400ce5a5ec9c886e218caff67d2bd299",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-08T07:09:27Z",
    "title_canon_sha256": "4fedb9c195a6e84e6bf8ed6117443a8e2a72946747eccb24919ec5f2dce35bde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02762",
    "kind": "arxiv",
    "version": 1
  }
}