Pith Number

pith:GLKU2CNH

pith:2015:GLKU2CNHMMSOT4FELGR4RHIWE2

not attested not anchored not stored refs pending

Max-linear models on directed acyclic graphs

Claudia Kl\"uppelberg, Nadine Gissibl

arxiv:1512.07522 v2 · 2015-12-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLKU2CNHMMSOT4FELGR4RHIWE2}

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	2026-05-18T00:51:28.447650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d54d09a76324e9f0a459a3c89d16269f8c1a8dbe68fdf68ea6a64d22ad404a

Aliases

arxiv: 1512.07522 · arxiv_version: 1512.07522v2 · doi: 10.48550/arxiv.1512.07522 · pith_short_12: GLKU2CNHMMSO · pith_short_16: GLKU2CNHMMSOT4FE · pith_short_8: GLKU2CNH

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/GLKU2CNHMMSOT4FELGR4RHIWE2 \
  | 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: 32d54d09a76324e9f0a459a3c89d16269f8c1a8dbe68fdf68ea6a64d22ad404a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "303188dfd9343d3a73df9589cc543a0c70e4168340fc0baae55523f9e15190de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-23T15:43:50Z",
    "title_canon_sha256": "247bfbb2d0fd8cc4ce7c6f95b4fccd7d08deeb5c2e9f11f4ece4bd9fe15eee5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07522",
    "kind": "arxiv",
    "version": 2
  }
}