Pith Number

pith:MUB5GCMW

pith:2016:MUB5GCMWY2UTKXXLVGZ2B3MI7M

not attested not anchored not stored refs pending

Monotone Dynamical Systems with Polyhedral Order Cones and Dense Periodic Points

Morris W. Hirsch

arxiv:1611.09251 v1 · 2016-11-28 · 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{MUB5GCMWY2UTKXXLVGZ2B3MI7M}

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	2026-05-18T00:56:28.672915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6503d30996c6a9355eeba9b3a0ed88fb05c5b01c7332fa08bd7a59a23d5d3c13

Aliases

arxiv: 1611.09251 · arxiv_version: 1611.09251v1 · doi: 10.48550/arxiv.1611.09251 · pith_short_12: MUB5GCMWY2UT · pith_short_16: MUB5GCMWY2UTKXXL · pith_short_8: MUB5GCMW

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/MUB5GCMWY2UTKXXLVGZ2B3MI7M \
  | 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: 6503d30996c6a9355eeba9b3a0ed88fb05c5b01c7332fa08bd7a59a23d5d3c13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2544582e2bb0b2d1283570a0c1b42b9fe8f5123bd6f798e62b543ebfc6c9e841",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-28T17:23:07Z",
    "title_canon_sha256": "630bb5085b66e669a608a5ddff1038fb42da09269720f1f92516209d3bba04d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09251",
    "kind": "arxiv",
    "version": 1
  }
}