Pith Number

pith:KIQ7NZEG

pith:2019:KIQ7NZEGPQKBD7GGYOHD4E4YTZ

not attested not anchored not stored refs pending

Bounds for Invariance Pressure

Alexandre J. Santana, Fritz Colonius, Jo\~ao A. N. Cossich

arxiv:1904.04768 v1 · 2019-04-09 · 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{KIQ7NZEGPQKBD7GGYOHD4E4YTZ}

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	2026-05-17T23:48:58.197775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5221f6e4867c1411fcc6c38e3e13989e439c6fa8f2aa3c4bc56ccb51e0a3ebba

Aliases

arxiv: 1904.04768 · arxiv_version: 1904.04768v1 · doi: 10.48550/arxiv.1904.04768 · pith_short_12: KIQ7NZEGPQKB · pith_short_16: KIQ7NZEGPQKBD7GG · pith_short_8: KIQ7NZEG

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/KIQ7NZEGPQKBD7GGYOHD4E4YTZ \
  | 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: 5221f6e4867c1411fcc6c38e3e13989e439c6fa8f2aa3c4bc56ccb51e0a3ebba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bab95ccce7c40488d67a9683125e209122cbfc0c6faf902293ff8a59147ddcb",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-04-09T16:25:53Z",
    "title_canon_sha256": "43dce28c8408eea68f3dd79c9a085f1243b0e4bd690feb8ec1aa94b680afa45e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04768",
    "kind": "arxiv",
    "version": 1
  }
}