Pith Number

pith:PFGEO56C

pith:2012:PFGEO56CIMSTM2FXJQQ4VVLM6G

not attested not anchored not stored refs pending

Chain transitive sets for smooth strongly monotone dynamical systems

Morris W. Hirsch

arxiv:1204.1703 v1 · 2012-04-08 · 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{PFGEO56CIMSTM2FXJQQ4VVLM6G}

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	2026-05-18T03:58:23.374188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794c4777c243253668b74c21cad56cf1989b38c65487324481c82e42a7b58655

Aliases

arxiv: 1204.1703 · arxiv_version: 1204.1703v1 · doi: 10.48550/arxiv.1204.1703 · pith_short_12: PFGEO56CIMST · pith_short_16: PFGEO56CIMSTM2FX · pith_short_8: PFGEO56C

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/PFGEO56CIMSTM2FXJQQ4VVLM6G \
  | 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: 794c4777c243253668b74c21cad56cf1989b38c65487324481c82e42a7b58655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f1fc17927136fefba422d565099238abf02d6cda98bb922b4c78dc76971a85e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-08T03:38:40Z",
    "title_canon_sha256": "3bfa60d6e4aec20477ea6285d3dacd40d69eae2aa404b723205561772f53141d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1703",
    "kind": "arxiv",
    "version": 1
  }
}