Pith Number

pith:CFCHR2UC

pith:2015:CFCHR2UC264BJRALNU62MMKH3Y

not attested not anchored not stored refs pending

Contact Geometry of the Pontryagin Maximum Principle

Tomoki Ohsawa

arxiv:1501.07855 v2 · 2015-01-30 · math.OC · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFCHR2UC264BJRALNU62MMKH3Y}

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	2026-05-18T02:25:19.687807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

114478ea82d7b814c40b6d3da63147de0dbd3203e29f770d0cdf64d061b42a29

Aliases

arxiv: 1501.07855 · arxiv_version: 1501.07855v2 · doi: 10.48550/arxiv.1501.07855 · pith_short_12: CFCHR2UC264B · pith_short_16: CFCHR2UC264BJRAL · pith_short_8: CFCHR2UC

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/CFCHR2UC264BJRALNU62MMKH3Y \
  | 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: 114478ea82d7b814c40b6d3da63147de0dbd3203e29f770d0cdf64d061b42a29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ab8561396d5ea88c0315513d15305f82251d2fa23312ed9c197f0fbd65b533",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-01-30T17:29:37Z",
    "title_canon_sha256": "e43f934e1f6391565c6108c0ca7ec999e932404ae8dd6a9fd00dbb02af14fe46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07855",
    "kind": "arxiv",
    "version": 2
  }
}