Pith Number

pith:ZGU4CQ2K

pith:2018:ZGU4CQ2KPLJBSKNN65REYOHS4J

not attested not anchored not stored refs pending

Strongly unimodal systems

Christian Grussler, Rodolphe Sepulchre

arxiv:1811.03986 v1 · 2018-11-09 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGU4CQ2KPLJBSKNN65REYOHS4J}

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	2026-05-18T00:01:11.347602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a9c1434a7ad21929adf7624c38f2e2430c68786fcfc479e8b659c55578dc34

Aliases

arxiv: 1811.03986 · arxiv_version: 1811.03986v1 · doi: 10.48550/arxiv.1811.03986 · pith_short_12: ZGU4CQ2KPLJB · pith_short_16: ZGU4CQ2KPLJBSKNN · pith_short_8: ZGU4CQ2K

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/ZGU4CQ2KPLJBSKNN65REYOHS4J \
  | 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: c9a9c1434a7ad21929adf7624c38f2e2430c68786fcfc479e8b659c55578dc34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "032b95f5df686912728d3c41195210a08a74f9529b853ab69ec97288c41e2519",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-11-09T16:02:51Z",
    "title_canon_sha256": "bbb67b68843a462f5a2dbcd0db5ad6a07fccd48964c8ccc50504254a61181807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03986",
    "kind": "arxiv",
    "version": 1
  }
}