Pith Number

pith:ALV3SXDG

pith:2018:ALV3SXDGPHOPUUYHJLKTQ7MBTL

not attested not anchored not stored refs pending

On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems

Falk Hante, Martin Gugat

arxiv:1806.04438 v3 · 2018-06-12 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALV3SXDGPHOPUUYHJLKTQ7MBTL}

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	2026-05-18T00:01:23.290055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ebb95c6679dcfa53074ad5387d819ad55d6c3498dab3bf9790ccad18f88b5c

Aliases

arxiv: 1806.04438 · arxiv_version: 1806.04438v3 · doi: 10.48550/arxiv.1806.04438 · pith_short_12: ALV3SXDGPHOP · pith_short_16: ALV3SXDGPHOPUUYH · pith_short_8: ALV3SXDG

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/ALV3SXDGPHOPUUYHJLKTQ7MBTL \
  | 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: 02ebb95c6679dcfa53074ad5387d819ad55d6c3498dab3bf9790ccad18f88b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dcbfda031bde543ea6b6759f4a908f56870e063b228b3f9c690e63c94da6f2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-12T11:16:04Z",
    "title_canon_sha256": "23dccc4a2658f9c978db33a9f8eff821a134b155b809d02bb4b3d731d9ced9b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04438",
    "kind": "arxiv",
    "version": 3
  }
}