Pith Number

pith:LR7DCC2K

pith:2016:LR7DCC2KAFJE36OWG2ULJGERN2

not attested not anchored not stored refs pending

The Lax-Oleinik semi-group on graphs

Hector Sanchez Morgado, Renato Iturriaga

arxiv:1601.03577 v2 · 2016-01-14 · 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{LR7DCC2KAFJE36OWG2ULJGERN2}

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	2026-05-18T00:45:30.617113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c7e310b4a01524df9d636a8b498916e8fb2728ff877690e95ba0dbba9b9d321

Aliases

arxiv: 1601.03577 · arxiv_version: 1601.03577v2 · doi: 10.48550/arxiv.1601.03577 · pith_short_12: LR7DCC2KAFJE · pith_short_16: LR7DCC2KAFJE36OW · pith_short_8: LR7DCC2K

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/LR7DCC2KAFJE36OWG2ULJGERN2 \
  | 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: 5c7e310b4a01524df9d636a8b498916e8fb2728ff877690e95ba0dbba9b9d321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de0b8cb205c4b0954ef269e902b5bec9e556f8629c8ce273aadd5974884ecec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-14T12:17:17Z",
    "title_canon_sha256": "5a05d1fdf841bc8ee4d51572223c262bfc5c98d37c826ce4f1e3aa316ada1bc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03577",
    "kind": "arxiv",
    "version": 2
  }
}