Pith Number

pith:AQZPOTUZ

pith:2017:AQZPOTUZQFRIU2CQ4KEAP7Q3GL

not attested not anchored not stored refs pending

Optimal bounds and extremal trajectories for time averages in nonlinear dynamical systems

Charles R. Doering, David Goluskin, Ian Tobasco

arxiv:1705.07096 v3 · 2017-05-19 · math.DS · math.OC · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQZPOTUZQFRIU2CQ4KEAP7Q3GL}

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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.

Cited by

1 paper in Pith

Bootstrapping Open Quantum Many-body Systems with Absorbing Phase Transitions

Receipt and verification

First computed	2026-05-17T23:48:43.506780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0432f74e9981628a6850e28807fe1b32f4c20b3555fa784314dfea2d663e53e2

Aliases

arxiv: 1705.07096 · arxiv_version: 1705.07096v3 · doi: 10.48550/arxiv.1705.07096 · pith_short_12: AQZPOTUZQFRI · pith_short_16: AQZPOTUZQFRIU2CQ · pith_short_8: AQZPOTUZ

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/AQZPOTUZQFRIU2CQ4KEAP7Q3GL \
  | 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: 0432f74e9981628a6850e28807fe1b32f4c20b3555fa784314dfea2d663e53e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f58303c5f803a651ca36c47cd0f016e53635d53d49ec990a2b386ea3e6a87e",
    "cross_cats_sorted": [
      "math.OC",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-19T17:16:23Z",
    "title_canon_sha256": "2d77f98f18b4377421c0c42d39736379f72144d9f28fb93b1da4e8f15540b9ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07096",
    "kind": "arxiv",
    "version": 3
  }
}