Pith Number

pith:WJ5OK5MF

pith:2018:WJ5OK5MFZ6KVRQ3HGZXTG5RULP

not attested not anchored not stored refs pending

Differential games and Hamilton-Jacobi equations in the Heisenberg group

Andrea Calogero

arxiv:1803.00528 v1 · 2018-03-01 · 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{WJ5OK5MFZ6KVRQ3HGZXTG5RULP}

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	2026-05-18T00:22:11.513935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b27ae57585cf9558c367366f3376345bc5c723825a695e80f6737ad5f148ec0e

Aliases

arxiv: 1803.00528 · arxiv_version: 1803.00528v1 · doi: 10.48550/arxiv.1803.00528 · pith_short_12: WJ5OK5MFZ6KV · pith_short_16: WJ5OK5MFZ6KVRQ3H · pith_short_8: WJ5OK5MF

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/WJ5OK5MFZ6KVRQ3HGZXTG5RULP \
  | 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: b27ae57585cf9558c367366f3376345bc5c723825a695e80f6737ad5f148ec0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "912a52c0952a49f12eb3a4abf8913626c495aa72604e2927002e2fd97effde94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-01T17:50:43Z",
    "title_canon_sha256": "9017bf3a9d1bd12c73cd00e8eccb4b7bf82a0897ec76870673f4c48257c43411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00528",
    "kind": "arxiv",
    "version": 1
  }
}